diff --git a/futures-core/src/lib.rs b/futures-core/src/lib.rs
index 615370d397..a7d5299fb5 100644
--- a/futures-core/src/lib.rs
+++ b/futures-core/src/lib.rs
@@ -29,9 +29,6 @@ pub mod stream;
 pub mod task;
 #[doc(hidden)] pub use self::task::Poll;
 
-pub mod never;
-#[doc(hidden)] pub use self::never::Never;
-
 #[doc(hidden)]
 pub mod core_reexport {
     #[doc(hidden)]
diff --git a/futures-util/src/future/never_error.rs b/futures-util/src/future/never_error.rs
index 6e8094c118..5a68e6f952 100644
--- a/futures-util/src/future/never_error.rs
+++ b/futures-util/src/future/never_error.rs
@@ -1,7 +1,7 @@
+use crate::never::Never;
 use core::pin::Pin;
 use futures_core::future::{FusedFuture, Future};
 use futures_core::task::{self, Poll};
-use futures_core::never::Never;
 use pin_utils::unsafe_pinned;
 
 /// Future for the [`never_error`](super::FutureExt::never_error) combinator.
diff --git a/futures-util/src/lib.rs b/futures-util/src/lib.rs
index ef216e650e..1216768851 100644
--- a/futures-util/src/lib.rs
+++ b/futures-util/src/lib.rs
@@ -112,6 +112,9 @@ pub mod sink;
 
 pub mod task;
 
+pub mod never;
+#[doc(hidden)] pub use crate::never::Never;
+
 #[cfg(feature = "compat")]
 pub mod compat;
 
diff --git a/futures-core/src/never.rs b/futures-util/src/never.rs
similarity index 100%
rename from futures-core/src/never.rs
rename to futures-util/src/never.rs
diff --git a/futures-util/src/sink/drain.rs b/futures-util/src/sink/drain.rs
index f6eed3cf80..46de83b7c2 100644
--- a/futures-util/src/sink/drain.rs
+++ b/futures-util/src/sink/drain.rs
@@ -1,7 +1,7 @@
+use crate::never::Never;
 use core::marker::PhantomData;
 use core::pin::Pin;
 use futures_core::task::{Context, Poll};
-use futures_core::never::Never;
 use futures_sink::Sink;
 
 /// Sink for the [`drain`] function.
diff --git a/futures/src/lib.rs b/futures/src/lib.rs
index 3cfef84425..747ffd59b6 100644
--- a/futures/src/lib.rs
+++ b/futures/src/lib.rs
@@ -62,7 +62,7 @@ compile_error!("The `bilock` feature requires the `unstable` feature as an expli
 
 #[doc(hidden)] pub use futures_core::task::Poll;
 
-#[doc(hidden)] pub use futures_core::never::Never;
+#[doc(hidden)] pub use futures_util::never::Never;
 
 // Macro reexports
 pub use futures_core::ready; // Readiness propagation
@@ -519,7 +519,7 @@ pub mod never {
     //!
     //! Values of this type can never be created and will never exist.
 
-    pub use futures_core::never::Never;
+    pub use futures_util::never::Never;
 }
 
 // proc-macro re-export --------------------------------------