diff --git a/Doc/library/asyncio-eventloop.rst b/Doc/library/asyncio-eventloop.rst
index 7de5a0a..ca91efe 100644
--- a/Doc/library/asyncio-eventloop.rst
+++ b/Doc/library/asyncio-eventloop.rst
@@ -53,6 +53,11 @@
    Consider also using the :func:`asyncio.run` function instead of using
    lower level functions to manually create and close an event loop.
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if there is no running event loop.
+      If future Python releases this function will be an alias of
+      :func:`get_running_loop`.
+
 .. function:: set_event_loop(loop)
 
    Set *loop* as a current event loop for the current OS thread.
diff --git a/Doc/library/asyncio-future.rst b/Doc/library/asyncio-future.rst
index 939d4c1..ef496a2 100644
--- a/Doc/library/asyncio-future.rst
+++ b/Doc/library/asyncio-future.rst
@@ -57,12 +57,20 @@
    .. versionchanged:: 3.5.1
       The function accepts any :term:`awaitable` object.
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if *obj* is not a Future-like object
+      and *loop* is not specified and there is no running event loop.
+
 
 .. function:: wrap_future(future, *, loop=None)
 
    Wrap a :class:`concurrent.futures.Future` object in a
    :class:`asyncio.Future` object.
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if *future* is not a Future-like object
+      and *loop* is not specified and there is no running event loop.
+
 
 Future Object
 =============
@@ -90,6 +98,10 @@
    .. versionchanged:: 3.7
       Added support for the :mod:`contextvars` module.
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if *loop* is not specified
+      and there is no running event loop.
+
    .. method:: result()
 
       Return the result of the Future.
diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index 1ca1b4a..3f54ecb 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -397,6 +397,11 @@
       If the *gather* itself is cancelled, the cancellation is
       propagated regardless of *return_exceptions*.
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if no positional arguments are provided
+      or not all positional arguments are Future-like objects
+      and there is no running event loop.
+
 
 Shielding From Cancellation
 ===========================
@@ -434,6 +439,10 @@
        except CancelledError:
            res = None
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if *aw* is not Future-like object
+      and there is no running event loop.
+
 
 Timeouts
 ========
@@ -593,6 +602,10 @@
            earliest_result = await coro
            # ...
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if not all awaitable objects in the *aws*
+      iterable are Future-like objects and there is no running event loop.
+
 
 Running in Threads
 ==================
@@ -775,6 +788,10 @@
    .. deprecated-removed:: 3.8 3.10
       The *loop* parameter.
 
+   .. deprecated:: 3.10
+      Deprecation warning is emitted if *loop* is not specified
+      and there is no running event loop.
+
    .. method:: cancel(msg=None)
 
       Request the Task to be cancelled.