diff --git a/futures-util/src/future/mod.rs b/futures-util/src/future/mod.rs
index ca9e6efba2..094857fe34 100644
--- a/futures-util/src/future/mod.rs
+++ b/futures-util/src/future/mod.rs
@@ -9,6 +9,10 @@ use futures_core::future::Future;
 use futures_core::stream::Stream;
 use futures_core::task::{LocalWaker, Poll};
 
+// re-export for `select!`
+#[doc(hidden)]
+pub use futures_core::future::FusedFuture;
+
 // Primitive futures
 mod empty;
 pub use self::empty::{empty, Empty};
diff --git a/futures-util/src/task/mod.rs b/futures-util/src/task/mod.rs
index 93266e6f16..5d87ed8f73 100644
--- a/futures-util/src/task/mod.rs
+++ b/futures-util/src/task/mod.rs
@@ -16,3 +16,7 @@ pub use self::local_waker_ref::{local_waker_ref, local_waker_ref_from_nonlocal,
     cfg(all(target_has_atomic = "cas", target_has_atomic = "ptr"))
 )]
 pub use futures_core::task::__internal::AtomicWaker;
+
+// re-export for `select!`
+#[doc(hidden)]
+pub use futures_core::task::{LocalWaker, Poll};
diff --git a/futures-util/tests/select_next_some.rs b/futures-util/tests/select_next_some.rs
index 926c8984d0..7228e57df0 100644
--- a/futures-util/tests/select_next_some.rs
+++ b/futures-util/tests/select_next_some.rs
@@ -55,3 +55,32 @@ fn select() {
         assert_eq!(total, 6);
     });
 }
+
+// Check that `select!` macro does not fail when importing from `futures_util`.
+#[test]
+fn futures_util_select() {
+    use futures_util::select;
+
+    // Checks that even though `async_tasks` will yield a `None` and return
+    // `is_terminated() == true` during the first poll, it manages to toggle
+    // back to having items after a future is pushed into it during the second
+    // poll (after pending_once completes).
+    futures::executor::block_on(async {
+        let mut fut = future::ready(1).pending_once();
+        let mut async_tasks = FuturesUnordered::new();
+        let mut total = 0;
+        loop {
+            select! {
+                num = fut => {
+                    total += num;
+                    async_tasks.push(async { 5 });
+                },
+                num = async_tasks.select_next_some() => {
+                    total += num;
+                }
+                complete => break,
+            }
+        }
+        assert_eq!(total, 6);
+    });
+}