diff --git a/stdlib/3/asyncio/tasks.pyi b/stdlib/3/asyncio/tasks.pyi
index ed5db5815782..0c148fa1ad6d 100644
--- a/stdlib/3/asyncio/tasks.pyi
+++ b/stdlib/3/asyncio/tasks.pyi
@@ -32,6 +32,7 @@ _T3 = TypeVar("_T3")
 _T4 = TypeVar("_T4")
 _T5 = TypeVar("_T5")
 _FutureT = Union[Future[_T], Generator[Any, None, _T], Awaitable[_T]]
+_TaskYieldType = Optional[Future[object]]
 
 FIRST_EXCEPTION: str
 FIRST_COMPLETED: str
@@ -167,13 +168,15 @@ class Task(Future[_T], Generic[_T]):
     if sys.version_info >= (3, 8):
         def __init__(
             self,
-            coro: Union[Generator[Any, None, _T], Awaitable[_T]],
+            coro: Union[Generator[_TaskYieldType, None, _T], Awaitable[_T]],
             *,
             loop: AbstractEventLoop = ...,
             name: Optional[str] = ...,
         ) -> None: ...
     else:
-        def __init__(self, coro: Union[Generator[Any, None, _T], Awaitable[_T]], *, loop: AbstractEventLoop = ...) -> None: ...
+        def __init__(
+            self, coro: Union[Generator[_TaskYieldType, None, _T], Awaitable[_T]], *, loop: AbstractEventLoop = ...
+        ) -> None: ...
     def __repr__(self) -> str: ...
     if sys.version_info >= (3, 8):
         def get_coro(self) -> Any: ...
@@ -198,7 +201,9 @@ class Task(Future[_T], Generic[_T]):
 if sys.version_info >= (3, 7):
     def all_tasks(loop: Optional[AbstractEventLoop] = ...) -> Set[Task[Any]]: ...
     if sys.version_info >= (3, 8):
-        def create_task(coro: Union[Generator[Any, None, _T], Awaitable[_T]], *, name: Optional[str] = ...) -> Task[_T]: ...
+        def create_task(
+            coro: Union[Generator[_TaskYieldType, None, _T], Awaitable[_T]], *, name: Optional[str] = ...
+        ) -> Task[_T]: ...
     else:
-        def create_task(coro: Union[Generator[Any, None, _T], Awaitable[_T]]) -> Task[_T]: ...
+        def create_task(coro: Union[Generator[_TaskYieldType, None, _T], Awaitable[_T]]) -> Task[_T]: ...
     def current_task(loop: Optional[AbstractEventLoop] = ...) -> Optional[Task[Any]]: ...