diff --git a/tokio/src/runtime/scheduler/current_thread/mod.rs b/tokio/src/runtime/scheduler/current_thread/mod.rs
index e8018ab49..0b0ff5eeb 100644
--- a/tokio/src/runtime/scheduler/current_thread/mod.rs
+++ b/tokio/src/runtime/scheduler/current_thread/mod.rs
@@ -4,8 +4,10 @@ use crate::runtime::driver::{self, Driver};
 use crate::runtime::scheduler::{self, Defer, Inject};
 use crate::runtime::task::{self, JoinHandle, OwnedTasks, Schedule, SpawnLocation, Task};
 use crate::runtime::{
-    blocking, context, Config, MetricsBatch, SchedulerMetrics, TaskHooks, TaskMeta, WorkerMetrics,
+    blocking, context, Config, MetricsBatch, SchedulerMetrics, TaskHooks, WorkerMetrics,
 };
+#[cfg(tokio_unstable)]
+use crate::runtime::TaskMeta;
 use crate::sync::notify::Notify;
 use crate::util::atomic_cell::AtomicCell;
 use crate::util::{waker_ref, RngSeedGenerator, Wake, WakerRef};
diff --git a/tokio/src/runtime/scheduler/multi_thread/handle.rs b/tokio/src/runtime/scheduler/multi_thread/handle.rs
index 7fefc577c..39a541926 100644
--- a/tokio/src/runtime/scheduler/multi_thread/handle.rs
+++ b/tokio/src/runtime/scheduler/multi_thread/handle.rs
@@ -5,8 +5,10 @@ use crate::runtime::task::{Notified, Task};
 use crate::runtime::{
     blocking, driver,
     task::{self, JoinHandle, SpawnLocation},
-    TaskHooks, TaskMeta, TimerFlavor,
+    TaskHooks, TimerFlavor,
 };
+#[cfg(tokio_unstable)]
+use crate::runtime::TaskMeta;
 use crate::util::RngSeedGenerator;
 
 use std::fmt;
diff --git a/tokio/src/runtime/task/list.rs b/tokio/src/runtime/task/list.rs
index 884507675..2d3ad2b6e 100644
--- a/tokio/src/runtime/task/list.rs
+++ b/tokio/src/runtime/task/list.rs
@@ -84,34 +84,6 @@ impl<S: 'static> OwnedTasks<S> {
         }
     }
 
-    /// Binds the provided task to this `OwnedTasks` instance. This fails if the
-    /// `OwnedTasks` has been closed.
-    #[cfg_attr(tokio_unstable, allow(dead_code))]
-    pub(crate) fn bind<T>(
-        &self,
-        task: T,
-        scheduler: S,
-        id: super::Id,
-        spawned_at: SpawnLocation,
-        #[cfg(tokio_unstable)] user_data: Option<crate::runtime::TaskData>,
-    ) -> (JoinHandle<T::Output>, Option<Notified<S>>)
-    where
-        S: Schedule,
-        T: Future + Send + 'static,
-        T::Output: Send + 'static,
-    {
-        let (task, notified, join) = super::new_task(
-            task,
-            scheduler,
-            id,
-            spawned_at,
-            #[cfg(tokio_unstable)]
-            user_data,
-        );
-        let notified = unsafe { self.bind_inner(task, notified) };
-        (join, notified)
-    }
-
     pub(crate) fn bind_with_spawn_hook<T>(
         &self,
         task: T,
@@ -139,37 +111,6 @@ impl<S: 'static> OwnedTasks<S> {
         (join, notified)
     }
 
-    /// Bind a task that isn't safe to transfer across thread boundaries.
-    ///
-    /// # Safety
-    ///
-    /// Only use this in `LocalRuntime` where the task cannot move
-    #[cfg_attr(tokio_unstable, allow(dead_code))]
-    pub(crate) unsafe fn bind_local<T>(
-        &self,
-        task: T,
-        scheduler: S,
-        id: super::Id,
-        spawned_at: SpawnLocation,
-        #[cfg(tokio_unstable)] user_data: Option<crate::runtime::TaskData>,
-    ) -> (JoinHandle<T::Output>, Option<Notified<S>>)
-    where
-        S: Schedule,
-        T: Future + 'static,
-        T::Output: 'static,
-    {
-        let (task, notified, join) = super::new_task(
-            task,
-            scheduler,
-            id,
-            spawned_at,
-            #[cfg(tokio_unstable)]
-            user_data,
-        );
-        let notified = unsafe { self.bind_inner(task, notified) };
-        (join, notified)
-    }
-
     /// # Safety
     ///
     /// Only use this in `LocalRuntime` where the task cannot move.
diff --git a/tokio/src/runtime/tests/task.rs b/tokio/src/runtime/tests/task.rs
index 865d0ccd3..793ff03b7 100644
--- a/tokio/src/runtime/tests/task.rs
+++ b/tokio/src/runtime/tests/task.rs
@@ -2,6 +2,7 @@ use crate::runtime::task::{
     self, unowned, Id, JoinHandle, OwnedTasks, Schedule, SpawnLocation, Task,
 };
 use crate::runtime::tests::NoopSchedule;
+use crate::runtime::TaskHooks;
 
 use std::collections::VecDeque;
 use std::future::Future;
@@ -421,13 +422,22 @@ impl Runtime {
         T: 'static + Send + Future,
         T::Output: 'static + Send,
     {
-        let (handle, notified) = self.0.owned.bind(
+        let task_hooks = TaskHooks {
+            task_spawn_callback: None,
+            task_terminate_callback: None,
+            #[cfg(tokio_unstable)]
+            before_poll_callback: None,
+            #[cfg(tokio_unstable)]
+            after_poll_callback: None,
+        };
+        let (handle, notified) = self.0.owned.bind_with_spawn_hook(
             future,
             self.clone(),
             Id::next(),
             SpawnLocation::capture(),
             #[cfg(tokio_unstable)]
             None,
+            &task_hooks,
         );
 
         if let Some(notified) = notified {