diff --git a/library/alloc/tests/lib.rs b/library/alloc/tests/lib.rs
index c4e89a58a05..ed928994ad6 100644
--- a/library/alloc/tests/lib.rs
+++ b/library/alloc/tests/lib.rs
@@ -41,6 +41,7 @@
 #![feature(thin_box)]
 #![feature(strict_provenance)]
 #![feature(drain_keep_rest)]
+#![feature(local_waker)]
 #![allow(internal_features)]
 #![deny(fuzzy_provenance_casts)]
 #![deny(unsafe_op_in_unsafe_fn)]
@@ -62,6 +63,7 @@ mod rc;
 mod slice;
 mod str;
 mod string;
+mod task;
 mod thin_box;
 mod vec;
 mod vec_deque;
diff --git a/library/alloc/tests/task.rs b/library/alloc/tests/task.rs
new file mode 100644
index 00000000000..0f8d9218980
--- /dev/null
+++ b/library/alloc/tests/task.rs
@@ -0,0 +1,34 @@
+use alloc::rc::Rc;
+use alloc::sync::Arc;
+use alloc::task::{LocalWake, Wake};
+use core::task::{LocalWaker, Waker};
+
+#[test]
+fn test_waker_will_wake_clone() {
+    struct NoopWaker;
+
+    impl Wake for NoopWaker {
+        fn wake(self: Arc<Self>) {}
+    }
+
+    let waker = Waker::from(Arc::new(NoopWaker));
+    let clone = waker.clone();
+
+    assert!(waker.will_wake(&clone));
+    assert!(clone.will_wake(&waker));
+}
+
+#[test]
+fn test_local_waker_will_wake_clone() {
+    struct NoopWaker;
+
+    impl LocalWake for NoopWaker {
+        fn wake(self: Rc<Self>) {}
+    }
+
+    let waker = LocalWaker::from(Rc::new(NoopWaker));
+    let clone = waker.clone();
+
+    assert!(waker.will_wake(&clone));
+    assert!(clone.will_wake(&waker));
+}