diff --git a/tokio-threadpool/src/worker/mod.rs b/tokio-threadpool/src/worker/mod.rs
index 5f4461ba8..30910ca71 100644
--- a/tokio-threadpool/src/worker/mod.rs
+++ b/tokio-threadpool/src/worker/mod.rs
@@ -16,6 +16,7 @@ use tokio_executor;
 use log::trace;
 use std::cell::Cell;
 use std::marker::PhantomData;
+use std::ptr;
 use std::rc::Rc;
 use std::sync::atomic::Ordering::{AcqRel, Acquire};
 use std::sync::Arc;
@@ -81,7 +82,7 @@ struct CurrentTask {
 pub struct WorkerId(pub(crate) usize);
 
 // Pointer to the current worker info
-thread_local!(static CURRENT_WORKER: Cell<*const Worker> = Cell::new(0 as *const _));
+thread_local!(static CURRENT_WORKER: Cell<*const Worker> = Cell::new(ptr::null()));
 
 impl Worker {
     pub(crate) fn new(
diff --git a/tokio-tls/tests/smoke.rs b/tokio-tls/tests/smoke.rs
index 18cf39762..024db4965 100644
--- a/tokio-tls/tests/smoke.rs
+++ b/tokio-tls/tests/smoke.rs
@@ -10,6 +10,7 @@ use native_tls::{Identity, TlsAcceptor, TlsConnector};
 use std::io::Write;
 use std::marker::Unpin;
 use std::process::Command;
+use std::ptr;
 use tokio::io::{AsyncReadExt, AsyncWrite, AsyncWriteExt, Error, ErrorKind};
 use tokio::net::{TcpListener, TcpStream};
 use tokio_tls;
@@ -33,7 +34,7 @@ struct Keys {
 #[allow(dead_code)]
 fn openssl_keys() -> &'static Keys {
     static INIT: Once = Once::new();
-    static mut KEYS: *mut Keys = 0 as *mut _;
+    static mut KEYS: *mut Keys = ptr::null_mut();
 
     INIT.call_once(|| {
         let path = t!(env::current_exe());
@@ -160,7 +161,7 @@ cfg_if! {
         // self-signed certificate, so we just fork out to the `openssl` binary.
         fn keys() -> (&'static [u8], &'static [u8]) {
             static INIT: Once = Once::new();
-            static mut KEYS: *mut (Vec<u8>, Vec<u8>) = 0 as *mut _;
+            static mut KEYS: *mut (Vec<u8>, Vec<u8>) = ptr::null_mut();
 
             INIT.call_once(|| {
                 let (key, cert) = openssl_keys();
@@ -266,7 +267,6 @@ cfg_if! {
         use std::fs::File;
         use std::io::Error;
         use std::mem;
-        use std::ptr;
         use std::sync::Once;
 
         use schannel::cert_context::CertContext;