diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index d992b0011dc660..e07c54b40edc52 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -582,9 +582,9 @@ Waiting Primitives
 .. function:: as_completed(aws, \*, loop=None, timeout=None)
 
    Run :ref:`awaitable objects <asyncio-awaitables>` in the *aws*
-   set concurrently.  Return an iterator of :class:`Future` objects.
-   Each Future object returned represents the earliest result
-   from the set of the remaining awaitables.
+   set concurrently.  Return an iterator of coroutines.
+   Each coroutine returned can be awaited to get the earliest next
+   result from the set of the remaining awaitables.
 
    Raises :exc:`asyncio.TimeoutError` if the timeout occurs before
    all Futures are done.
@@ -594,8 +594,8 @@ Waiting Primitives
 
    Example::
 
-       for f in as_completed(aws):
-           earliest_result = await f
+       for coro in as_completed(aws):
+           earliest_result = await coro
            # ...