diff --git a/Doc/library/multiprocessing.rst b/Doc/library/multiprocessing.rst
index 50b90031ab5a58..36c6333a1786fe 100644
--- a/Doc/library/multiprocessing.rst
+++ b/Doc/library/multiprocessing.rst
@@ -2173,7 +2173,8 @@ with the :class:`Pool` class.
 
    .. method:: apply_async(func[, args[, kwds[, callback[, error_callback]]]])
 
-      A variant of the :meth:`apply` method which returns a result object.
+      A variant of the :meth:`apply` method which returns a
+      :class:`~multiprocessing.pool.AsyncResult` object.
 
       If *callback* is specified then it should be a callable which accepts a
       single argument.  When the result becomes ready *callback* is applied to
@@ -2203,7 +2204,8 @@ with the :class:`Pool` class.
 
    .. method:: map_async(func, iterable[, chunksize[, callback[, error_callback]]])
 
-      A variant of the :meth:`.map` method which returns a result object.
+      A variant of the :meth:`.map` method which returns a
+      :class:`~multiprocessing.pool.AsyncResult` object.
 
       If *callback* is specified then it should be a callable which accepts a
       single argument.  When the result becomes ready *callback* is applied to