diff --git a/stdlib/asyncio/tasks.pyi b/stdlib/asyncio/tasks.pyi
index c1f4de3e6600..71f9741cb33b 100644
--- a/stdlib/asyncio/tasks.pyi
+++ b/stdlib/asyncio/tasks.pyi
@@ -230,27 +230,27 @@ def run_coroutine_threadsafe(coro: _FutureT[_T], loop: AbstractEventLoop) -> con
 
 if sys.version_info >= (3, 10):
     def shield(arg: _FutureT[_T]) -> Future[_T]: ...
-    def sleep(delay: float, result: _T = ...) -> Future[_T]: ...
+    async def sleep(delay: float, result: _T = ...) -> _T: ...
     @overload
-    def wait(fs: Iterable[_FT], *, timeout: float | None = ..., return_when: str = ...) -> Future[tuple[set[_FT], set[_FT]]]: ...  # type: ignore[misc]
+    async def wait(fs: Iterable[_FT], *, timeout: float | None = ..., return_when: str = ...) -> tuple[set[_FT], set[_FT]]: ...  # type: ignore[misc]
     @overload
-    def wait(
+    async def wait(
         fs: Iterable[Awaitable[_T]], *, timeout: float | None = ..., return_when: str = ...
-    ) -> Future[tuple[set[Task[_T]], set[Task[_T]]]]: ...
-    def wait_for(fut: _FutureT[_T], timeout: float | None) -> Future[_T]: ...
+    ) -> tuple[set[Task[_T]], set[Task[_T]]]: ...
+    async def wait_for(fut: _FutureT[_T], timeout: float | None) -> _T: ...
 
 else:
     def shield(arg: _FutureT[_T], *, loop: AbstractEventLoop | None = ...) -> Future[_T]: ...
-    def sleep(delay: float, result: _T = ..., *, loop: AbstractEventLoop | None = ...) -> Future[_T]: ...
+    async def sleep(delay: float, result: _T = ..., *, loop: AbstractEventLoop | None = ...) -> _T: ...
     @overload
-    def wait(  # type: ignore[misc]
+    async def wait(  # type: ignore[misc]
         fs: Iterable[_FT], *, loop: AbstractEventLoop | None = ..., timeout: float | None = ..., return_when: str = ...
-    ) -> Future[tuple[set[_FT], set[_FT]]]: ...
+    ) -> tuple[set[_FT], set[_FT]]: ...
     @overload
-    def wait(
+    async def wait(
         fs: Iterable[Awaitable[_T]], *, loop: AbstractEventLoop | None = ..., timeout: float | None = ..., return_when: str = ...
-    ) -> Future[tuple[set[Task[_T]], set[Task[_T]]]]: ...
-    def wait_for(fut: _FutureT[_T], timeout: float | None, *, loop: AbstractEventLoop | None = ...) -> Future[_T]: ...
+    ) -> tuple[set[Task[_T]], set[Task[_T]]]: ...
+    async def wait_for(fut: _FutureT[_T], timeout: float | None, *, loop: AbstractEventLoop | None = ...) -> _T: ...
 
 class Task(Future[_T], Generic[_T]):
     if sys.version_info >= (3, 8):