diff --git a/Cargo.toml b/Cargo.toml
index bdbeafa6f..783980246 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -56,7 +56,7 @@ async-task = { version = "1.0.0", optional = true }
 broadcaster = { version = "0.2.6", optional = true, default-features = false, features = ["default-channels"] }
 crossbeam-channel = { version = "0.3.9", optional = true }
 crossbeam-deque = { version = "0.7.1", optional = true }
-crossbeam-utils = { version = "0.6.6", optional = true }
+crossbeam-utils = { version = "0.7.0", optional = true }
 futures-core = { version = "0.3.0", optional = true }
 futures-io = { version = "0.3.0", optional = true }
 futures-timer = { version = "1.0.2", optional = true }
diff --git a/src/task/task_id.rs b/src/task/task_id.rs
index 67eee154b..4eea746a0 100644
--- a/src/task/task_id.rs
+++ b/src/task/task_id.rs
@@ -1,5 +1,6 @@
 use std::fmt;
-use std::sync::atomic::{AtomicU64, Ordering};
+
+use crossbeam_utils::atomic::AtomicCell;
 
 /// A unique identifier for a task.
 ///
@@ -18,9 +19,9 @@ pub struct TaskId(pub(crate) u64);
 impl TaskId {
     /// Generates a new `TaskId`.
     pub(crate) fn generate() -> TaskId {
-        static COUNTER: AtomicU64 = AtomicU64::new(1);
+        static COUNTER: AtomicCell<u64> = AtomicCell::new(1u64);
 
-        let id = COUNTER.fetch_add(1, Ordering::Relaxed);
+        let id = COUNTER.fetch_add(1);
         if id > u64::max_value() / 2 {
             std::process::abort();
         }