diff --git a/Doc/library/asyncio-future.rst b/Doc/library/asyncio-future.rst
index 939d4c1a84523a..63c369263fd99b 100644
--- a/Doc/library/asyncio-future.rst
+++ b/Doc/library/asyncio-future.rst
@@ -54,6 +54,9 @@ Future Functions
       See also the :func:`create_task` function which is the
       preferred way for creating new Tasks.
 
+      Save a reference to the result of this function, to avoid
+      a task disappearing mid execution.
+
    .. versionchanged:: 3.5.1
       The function accepts any :term:`awaitable` object.
 
diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index ca6e525e935977..e8bee20bc76bc7 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -274,6 +274,11 @@ Creating Tasks
        task = asyncio.ensure_future(coro())
        ...
 
+   .. important::
+
+      Save a reference to the result of this function, to avoid
+      a task disappearing mid execution.
+
    .. versionadded:: 3.7
 
    .. versionchanged:: 3.8