diff --git a/tokio-stream/src/lib.rs b/tokio-stream/src/lib.rs
index ae8b2e2e4..15794a5ae 100644
--- a/tokio-stream/src/lib.rs
+++ b/tokio-stream/src/lib.rs
@@ -937,7 +937,8 @@ pub trait StreamExt: Stream {
     /// use std::time::Duration;
     /// # let int_stream = stream::iter(1..=3);
     ///
-    /// let mut int_stream = int_stream.timeout(Duration::from_secs(1));
+    /// let int_stream = int_stream.timeout(Duration::from_secs(1));
+    /// tokio::pin!(int_stream);
     ///
     /// // When no items time out, we get the 3 elements in succession:
     /// assert_eq!(int_stream.try_next().await, Ok(Some(1)));
@@ -981,7 +982,8 @@ pub trait StreamExt: Stream {
     /// use tokio_stream::StreamExt;
     ///
     /// # async fn dox() {
-    /// let mut item_stream = futures::stream::repeat("one").throttle(Duration::from_secs(2));
+    /// let item_stream = futures::stream::repeat("one").throttle(Duration::from_secs(2));
+    /// tokio::pin!(item_stream);
     ///
     /// loop {
     ///     // The string will be produced at most every 2 seconds
diff --git a/tokio-stream/src/throttle.rs b/tokio-stream/src/throttle.rs
index 525763dca..99f3e0e00 100644
--- a/tokio-stream/src/throttle.rs
+++ b/tokio-stream/src/throttle.rs
@@ -14,14 +14,8 @@ pub(super) fn throttle<T>(duration: Duration, stream: T) -> Throttle<T>
 where
     T: Stream,
 {
-    let delay = if duration == Duration::from_millis(0) {
-        None
-    } else {
-        Some(tokio::time::sleep_until(Instant::now() + duration))
-    };
-
     Throttle {
-        delay,
+        delay: tokio::time::sleep_until(Instant::now() + duration),
         duration,
         has_delayed: true,
         stream,
@@ -33,8 +27,8 @@ pin_project! {
     #[derive(Debug)]
     #[must_use = "streams do nothing unless polled"]
     pub struct Throttle<T> {
-        // `None` when duration is zero.
-        delay: Option<Sleep>,
+        #[pin]
+        delay: Sleep,
         duration: Duration,
 
         // Set to true when `delay` has returned ready, but `stream` hasn't.
@@ -75,23 +69,29 @@ impl<T: Unpin> Throttle<T> {
 impl<T: Stream> Stream for Throttle<T> {
     type Item = T::Item;
 
-    fn poll_next(mut self: Pin<&mut Self>, cx: &mut task::Context<'_>) -> Poll<Option<Self::Item>> {
-        if !self.has_delayed && self.delay.is_some() {
-            ready!(Pin::new(self.as_mut().project().delay.as_mut().unwrap()).poll(cx));
-            *self.as_mut().project().has_delayed = true;
+    fn poll_next(self: Pin<&mut Self>, cx: &mut task::Context<'_>) -> Poll<Option<Self::Item>> {
+        let mut me = self.project();
+        let dur = *me.duration;
+
+        if !*me.has_delayed && !is_zero(dur) {
+            ready!(me.delay.as_mut().poll(cx));
+            *me.has_delayed = true;
         }
 
-        let value = ready!(self.as_mut().project().stream.poll_next(cx));
+        let value = ready!(me.stream.poll_next(cx));
 
         if value.is_some() {
-            let dur = self.duration;
-            if let Some(ref mut delay) = self.as_mut().project().delay {
-                delay.reset(Instant::now() + dur);
+            if !is_zero(dur) {
+                me.delay.reset(Instant::now() + dur);
             }
 
-            *self.as_mut().project().has_delayed = false;
+            *me.has_delayed = false;
         }
 
         Poll::Ready(value)
     }
 }
+
+fn is_zero(dur: Duration) -> bool {
+    dur == Duration::from_millis(0)
+}
diff --git a/tokio-stream/src/timeout.rs b/tokio-stream/src/timeout.rs
index 303142f01..9ebbaa233 100644
--- a/tokio-stream/src/timeout.rs
+++ b/tokio-stream/src/timeout.rs
@@ -15,6 +15,7 @@ pin_project! {
     pub struct Timeout<S> {
         #[pin]
         stream: Fuse<S>,
+        #[pin]
         deadline: Sleep,
         duration: Duration,
         poll_deadline: bool,
@@ -42,22 +43,24 @@ impl<S: Stream> Timeout<S> {
 impl<S: Stream> Stream for Timeout<S> {
     type Item = Result<S::Item, Elapsed>;
 
-    fn poll_next(mut self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Option<Self::Item>> {
-        match self.as_mut().project().stream.poll_next(cx) {
+    fn poll_next(self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Option<Self::Item>> {
+        let me = self.project();
+
+        match me.stream.poll_next(cx) {
             Poll::Ready(v) => {
                 if v.is_some() {
-                    let next = Instant::now() + self.duration;
-                    self.as_mut().project().deadline.reset(next);
-                    *self.as_mut().project().poll_deadline = true;
+                    let next = Instant::now() + *me.duration;
+                    me.deadline.reset(next);
+                    *me.poll_deadline = true;
                 }
                 return Poll::Ready(v.map(Ok));
             }
             Poll::Pending => {}
         };
 
-        if self.poll_deadline {
-            ready!(Pin::new(self.as_mut().project().deadline).poll(cx));
-            *self.as_mut().project().poll_deadline = false;
+        if *me.poll_deadline {
+            ready!(me.deadline.poll(cx));
+            *me.poll_deadline = false;
             return Poll::Ready(Some(Err(Elapsed::new())));
         }
 
diff --git a/tokio-test/src/io.rs b/tokio-test/src/io.rs
index 6705f80c3..77adfc3ee 100644
--- a/tokio-test/src/io.rs
+++ b/tokio-test/src/io.rs
@@ -67,7 +67,7 @@ enum Action {
 struct Inner {
     actions: VecDeque<Action>,
     waiting: Option<Instant>,
-    sleep: Option<Sleep>,
+    sleep: Option<Pin<Box<Sleep>>>,
     read_wait: Option<Waker>,
     // rx: mpsc::UnboundedReceiver<Action>,
     rx: Pin<Box<dyn Stream<Item = Action> + Send>>,
@@ -370,7 +370,7 @@ impl AsyncRead for Mock {
                 Err(ref e) if e.kind() == io::ErrorKind::WouldBlock => {
                     if let Some(rem) = self.inner.remaining_wait() {
                         let until = Instant::now() + rem;
-                        self.inner.sleep = Some(time::sleep_until(until));
+                        self.inner.sleep = Some(Box::pin(time::sleep_until(until)));
                     } else {
                         self.inner.read_wait = Some(cx.waker().clone());
                         return Poll::Pending;
@@ -415,7 +415,7 @@ impl AsyncWrite for Mock {
                 Err(ref e) if e.kind() == io::ErrorKind::WouldBlock => {
                     if let Some(rem) = self.inner.remaining_wait() {
                         let until = Instant::now() + rem;
-                        self.inner.sleep = Some(time::sleep_until(until));
+                        self.inner.sleep = Some(Box::pin(time::sleep_until(until)));
                     } else {
                         panic!("unexpected WouldBlock");
                     }
diff --git a/tokio-util/src/time/delay_queue.rs b/tokio-util/src/time/delay_queue.rs
index 4edd5cd64..e2c8f3137 100644
--- a/tokio-util/src/time/delay_queue.rs
+++ b/tokio-util/src/time/delay_queue.rs
@@ -138,7 +138,7 @@ pub struct DelayQueue<T> {
     expired: Stack<T>,
 
     /// Delay expiring when the *first* item in the queue expires
-    delay: Option<Sleep>,
+    delay: Option<Pin<Box<Sleep>>>,
 
     /// Wheel polling state
     wheel_now: u64,
@@ -342,9 +342,9 @@ impl<T> DelayQueue<T> {
 
             let delay_time = self.start + Duration::from_millis(when);
             if let Some(ref mut delay) = &mut self.delay {
-                delay.reset(delay_time);
+                delay.as_mut().reset(delay_time);
             } else {
-                self.delay = Some(sleep_until(delay_time));
+                self.delay = Some(Box::pin(sleep_until(delay_time)));
             }
         }
 
@@ -553,7 +553,7 @@ impl<T> DelayQueue<T> {
         let next_deadline = self.next_deadline();
         if let (Some(ref mut delay), Some(deadline)) = (&mut self.delay, next_deadline) {
             // This should awaken us if necessary (ie, if already expired)
-            delay.reset(deadline);
+            delay.as_mut().reset(deadline);
         }
     }
 
@@ -759,7 +759,7 @@ impl<T> DelayQueue<T> {
             // We poll the wheel to get the next value out before finding the next deadline.
             let wheel_idx = self.wheel.poll(self.wheel_now, &mut self.slab);
 
-            self.delay = self.next_deadline().map(sleep_until);
+            self.delay = self.next_deadline().map(|when| Box::pin(sleep_until(when)));
 
             if let Some(idx) = wheel_idx {
                 return Poll::Ready(Some(Ok(idx)));
diff --git a/tokio/src/macros/select.rs b/tokio/src/macros/select.rs
index 2131c8907..ca4f9630c 100644
--- a/tokio/src/macros/select.rs
+++ b/tokio/src/macros/select.rs
@@ -76,7 +76,8 @@
 ///
 /// #[tokio::main]
 /// async fn main() {
-///     let mut sleep = time::sleep(Duration::from_millis(50));
+///     let sleep = time::sleep(Duration::from_millis(50));
+///     tokio::pin!(sleep);
 ///
 ///     while !sleep.is_elapsed() {
 ///         tokio::select! {
@@ -109,7 +110,8 @@
 ///
 /// #[tokio::main]
 /// async fn main() {
-///     let mut sleep = time::sleep(Duration::from_millis(50));
+///     let sleep = time::sleep(Duration::from_millis(50));
+///     tokio::pin!(sleep);
 ///
 ///     loop {
 ///         tokio::select! {
@@ -226,7 +228,8 @@
 /// #[tokio::main]
 /// async fn main() {
 ///     let mut stream = stream::iter(vec![1, 2, 3]);
-///     let mut sleep = time::sleep(Duration::from_secs(1));
+///     let sleep = time::sleep(Duration::from_secs(1));
+///     tokio::pin!(sleep);
 ///
 ///     loop {
 ///         tokio::select! {
diff --git a/tokio/src/sync/mod.rs b/tokio/src/sync/mod.rs
index a183fe6ed..a953c66b3 100644
--- a/tokio/src/sync/mod.rs
+++ b/tokio/src/sync/mod.rs
@@ -359,7 +359,8 @@
 //!             let mut conf = rx.borrow().clone();
 //!
 //!             let mut op_start = Instant::now();
-//!             let mut sleep = time::sleep_until(op_start + conf.timeout);
+//!             let sleep = time::sleep_until(op_start + conf.timeout);
+//!             tokio::pin!(sleep);
 //!
 //!             loop {
 //!                 tokio::select! {
@@ -371,14 +372,14 @@
 //!                         op_start = Instant::now();
 //!
 //!                         // Restart the timeout
-//!                         sleep = time::sleep_until(op_start + conf.timeout);
+//!                         sleep.set(time::sleep_until(op_start + conf.timeout));
 //!                     }
 //!                     _ = rx.changed() => {
 //!                         conf = rx.borrow().clone();
 //!
 //!                         // The configuration has been updated. Update the
 //!                         // `sleep` using the new `timeout` value.
-//!                         sleep.reset(op_start + conf.timeout);
+//!                         sleep.as_mut().reset(op_start + conf.timeout);
 //!                     }
 //!                     _ = &mut op => {
 //!                         // The operation completed!
diff --git a/tokio/src/time/driver/entry.rs b/tokio/src/time/driver/entry.rs
index 87ba0c176..bcad988ef 100644
--- a/tokio/src/time/driver/entry.rs
+++ b/tokio/src/time/driver/entry.rs
@@ -367,6 +367,8 @@ pub(super) struct TimerEntry {
     /// Initial deadline for the timer. This is used to register on the first
     /// poll, as we can't register prior to being pinned.
     initial_deadline: Option<Instant>,
+    /// Ensure the type is !Unpin
+    _m: std::marker::PhantomPinned,
 }
 
 unsafe impl Send for TimerEntry {}
@@ -556,6 +558,7 @@ impl TimerEntry {
             driver,
             inner: StdUnsafeCell::new(TimerShared::new()),
             initial_deadline: Some(deadline),
+            _m: std::marker::PhantomPinned,
         }
     }
 
diff --git a/tokio/src/time/driver/sleep.rs b/tokio/src/time/driver/sleep.rs
index 9f358c34e..69a6e6d41 100644
--- a/tokio/src/time/driver/sleep.rs
+++ b/tokio/src/time/driver/sleep.rs
@@ -1,9 +1,9 @@
 use crate::time::driver::{Handle, TimerEntry};
 use crate::time::{error::Error, Duration, Instant};
 
+use pin_project_lite::pin_project;
 use std::future::Future;
 use std::pin::Pin;
-
 use std::task::{self, Poll};
 
 /// Waits until `deadline` is reached.
@@ -57,22 +57,24 @@ pub fn sleep(duration: Duration) -> Sleep {
     sleep_until(Instant::now() + duration)
 }
 
-/// Future returned by [`sleep`](sleep) and
-/// [`sleep_until`](sleep_until).
-#[derive(Debug)]
-#[must_use = "futures do nothing unless you `.await` or poll them"]
-pub struct Sleep {
-    deadline: Instant,
+pin_project! {
+    /// Future returned by [`sleep`](sleep) and
+    /// [`sleep_until`](sleep_until).
+    #[derive(Debug)]
+    #[must_use = "futures do nothing unless you `.await` or poll them"]
+    pub struct Sleep {
+        deadline: Instant,
 
-    // The link between the `Sleep` instance and the timer that drives it.
-    // This will be unboxed in tokio 1.0
-    entry: Pin<Box<TimerEntry>>,
+        // The link between the `Sleep` instance and the timer that drives it.
+        #[pin]
+        entry: TimerEntry,
+    }
 }
 
 impl Sleep {
     pub(crate) fn new_timeout(deadline: Instant) -> Sleep {
         let handle = Handle::current();
-        let entry = Box::pin(TimerEntry::new(&handle, deadline));
+        let entry = TimerEntry::new(&handle, deadline);
 
         Sleep { deadline, entry }
     }
@@ -96,16 +98,19 @@ impl Sleep {
     ///
     /// This function can be called both before and after the future has
     /// completed.
-    pub fn reset(&mut self, deadline: Instant) {
-        self.entry.as_mut().reset(deadline);
-        self.deadline = deadline;
+    pub fn reset(self: Pin<&mut Self>, deadline: Instant) {
+        let me = self.project();
+        me.entry.reset(deadline);
+        *me.deadline = deadline;
     }
 
-    fn poll_elapsed(&mut self, cx: &mut task::Context<'_>) -> Poll<Result<(), Error>> {
+    fn poll_elapsed(self: Pin<&mut Self>, cx: &mut task::Context<'_>) -> Poll<Result<(), Error>> {
+        let me = self.project();
+
         // Keep track of task budget
         let coop = ready!(crate::coop::poll_proceed(cx));
 
-        self.entry.as_mut().poll_elapsed(cx).map(move |r| {
+        me.entry.poll_elapsed(cx).map(move |r| {
             coop.made_progress();
             r
         })
diff --git a/tokio/src/time/interval.rs b/tokio/src/time/interval.rs
index e12a3f339..10de4e9d7 100644
--- a/tokio/src/time/interval.rs
+++ b/tokio/src/time/interval.rs
@@ -101,7 +101,7 @@ pub fn interval_at(start: Instant, period: Duration) -> Interval {
     assert!(period > Duration::new(0, 0), "`period` must be non-zero.");
 
     Interval {
-        delay: sleep_until(start),
+        delay: Box::pin(sleep_until(start)),
         period,
     }
 }
@@ -110,7 +110,7 @@ pub fn interval_at(start: Instant, period: Duration) -> Interval {
 #[derive(Debug)]
 pub struct Interval {
     /// Future that completes the next time the `Interval` yields a value.
-    delay: Sleep,
+    delay: Pin<Box<Sleep>>,
 
     /// The duration between values yielded by `Interval`.
     period: Duration,
@@ -127,7 +127,7 @@ impl Interval {
         // The next interval value is `duration` after the one that just
         // yielded.
         let next = now + self.period;
-        self.delay.reset(next);
+        self.delay.as_mut().reset(next);
 
         // Return the current instant
         Poll::Ready(now)
diff --git a/tokio/tests/async_send_sync.rs b/tokio/tests/async_send_sync.rs
index c345d2acb..671fa4a70 100644
--- a/tokio/tests/async_send_sync.rs
+++ b/tokio/tests/async_send_sync.rs
@@ -93,6 +93,14 @@ macro_rules! assert_value {
             AmbiguousIfSync::some_item(&f);
         };
     };
+    ($type:ty: Unpin) => {
+        #[allow(unreachable_code)]
+        #[allow(unused_variables)]
+        const _: fn() = || {
+            let f: $type = todo!();
+            require_unpin(&f);
+        };
+    };
 }
 macro_rules! async_assert_fn {
     ($($f:ident $(< $($generic:ty),* > )? )::+($($arg:ty),*): Send & Sync) => {
@@ -280,6 +288,12 @@ async_assert_fn!(tokio::time::timeout_at(Instant, BoxFutureSend<()>): Send & !Sy
 async_assert_fn!(tokio::time::timeout_at(Instant, BoxFuture<()>): !Send & !Sync);
 async_assert_fn!(tokio::time::Interval::tick(_): Send & Sync);
 
+assert_value!(tokio::time::Interval: Unpin);
+async_assert_fn!(tokio::time::sleep(Duration): !Unpin);
+async_assert_fn!(tokio::time::sleep_until(Instant): !Unpin);
+async_assert_fn!(tokio::time::timeout(Duration, BoxFuture<()>): !Unpin);
+async_assert_fn!(tokio::time::timeout_at(Instant, BoxFuture<()>): !Unpin);
+async_assert_fn!(tokio::time::Interval::tick(_): !Unpin);
 async_assert_fn!(tokio::io::AsyncBufReadExt::read_until(&mut BoxAsyncRead, u8, &mut Vec<u8>): !Unpin);
 async_assert_fn!(tokio::io::AsyncBufReadExt::read_line(&mut BoxAsyncRead, &mut String): !Unpin);
 async_assert_fn!(tokio::io::AsyncReadExt::read(&mut BoxAsyncRead, &mut [u8]): !Unpin);
diff --git a/tokio/tests/time_sleep.rs b/tokio/tests/time_sleep.rs
index 20e2b1c6b..27362581d 100644
--- a/tokio/tests/time_sleep.rs
+++ b/tokio/tests/time_sleep.rs
@@ -317,15 +317,15 @@ async fn drop_after_reschedule_at_new_scheduled_time() {
 
     let start = tokio::time::Instant::now();
 
-    let mut a = tokio::time::sleep(Duration::from_millis(5));
-    let mut b = tokio::time::sleep(Duration::from_millis(5));
-    let mut c = tokio::time::sleep(Duration::from_millis(10));
+    let mut a = Box::pin(tokio::time::sleep(Duration::from_millis(5)));
+    let mut b = Box::pin(tokio::time::sleep(Duration::from_millis(5)));
+    let mut c = Box::pin(tokio::time::sleep(Duration::from_millis(10)));
 
     let _ = poll!(&mut a);
     let _ = poll!(&mut b);
     let _ = poll!(&mut c);
 
-    b.reset(start + Duration::from_millis(10));
+    b.as_mut().reset(start + Duration::from_millis(10));
     a.await;
 
     drop(b);
@@ -334,12 +334,13 @@ async fn drop_after_reschedule_at_new_scheduled_time() {
 #[tokio::test]
 async fn drop_from_wake() {
     use std::future::Future;
+    use std::pin::Pin;
     use std::sync::atomic::{AtomicBool, Ordering};
     use std::sync::{Arc, Mutex};
     use std::task::Context;
 
     let panicked = Arc::new(AtomicBool::new(false));
-    let list: Arc<Mutex<Vec<tokio::time::Sleep>>> = Arc::new(Mutex::new(Vec::new()));
+    let list: Arc<Mutex<Vec<Pin<Box<tokio::time::Sleep>>>>> = Arc::new(Mutex::new(Vec::new()));
 
     let arc_wake = Arc::new(DropWaker(panicked.clone(), list.clone()));
     let arc_wake = futures::task::waker(arc_wake);
@@ -349,9 +350,9 @@ async fn drop_from_wake() {
     let mut lock = list.lock().unwrap();
 
     for _ in 0..100 {
-        let mut timer = tokio::time::sleep(Duration::from_millis(10));
+        let mut timer = Box::pin(tokio::time::sleep(Duration::from_millis(10)));
 
-        let _ = std::pin::Pin::new(&mut timer).poll(&mut Context::from_waker(&arc_wake));
+        let _ = timer.as_mut().poll(&mut Context::from_waker(&arc_wake));
 
         lock.push(timer);
     }
@@ -366,7 +367,10 @@ async fn drop_from_wake() {
     );
 
     #[derive(Clone)]
-    struct DropWaker(Arc<AtomicBool>, Arc<Mutex<Vec<tokio::time::Sleep>>>);
+    struct DropWaker(
+        Arc<AtomicBool>,
+        Arc<Mutex<Vec<Pin<Box<tokio::time::Sleep>>>>>,
+    );
 
     impl futures::task::ArcWake for DropWaker {
         fn wake_by_ref(arc_self: &Arc<Self>) {