diff --git a/stdlib/asyncio/base_events.pyi b/stdlib/asyncio/base_events.pyi
index 310a9f585..e413730bc 100644
--- a/stdlib/asyncio/base_events.pyi
+++ b/stdlib/asyncio/base_events.pyi
@@ -1,7 +1,7 @@
 import ssl
 import sys
 from _typeshed import FileDescriptorLike, WriteableBuffer
-from asyncio.events import AbstractEventLoop, AbstractServer, Handle, TimerHandle
+from asyncio.events import AbstractEventLoop, AbstractServer, Handle, TimerHandle, _TaskFactory
 from asyncio.futures import Future
 from asyncio.protocols import BaseProtocol
 from asyncio.tasks import Task
@@ -107,8 +107,8 @@ class BaseEventLoop(AbstractEventLoop):
     else:
         def create_task(self, coro: Coroutine[Any, Any, _T] | Generator[Any, None, _T]) -> Task[_T]: ...
 
-    def set_task_factory(self, factory: Callable[[AbstractEventLoop, Generator[Any, None, _T]], Future[_T]] | None) -> None: ...
-    def get_task_factory(self) -> Callable[[AbstractEventLoop, Generator[Any, None, _T]], Future[_T]] | None: ...
+    def set_task_factory(self, factory: _TaskFactory | None) -> None: ...
+    def get_task_factory(self) -> _TaskFactory | None: ...
     # Methods for interacting with threads
     if sys.version_info >= (3, 7):
         def call_soon_threadsafe(self, callback: Callable[..., Any], *args: Any, context: Context | None = ...) -> Handle: ...
diff --git a/stdlib/asyncio/events.pyi b/stdlib/asyncio/events.pyi
index 8396f0957..fb4dac56f 100644
--- a/stdlib/asyncio/events.pyi
+++ b/stdlib/asyncio/events.pyi
@@ -4,7 +4,7 @@ from _typeshed import FileDescriptorLike, Self, WriteableBuffer
 from abc import ABCMeta, abstractmethod
 from collections.abc import Awaitable, Callable, Coroutine, Generator, Sequence
 from socket import AddressFamily, SocketKind, _Address, _RetAddress, socket
-from typing import IO, Any, TypeVar, overload
+from typing import IO, Any, Protocol, TypeVar, overload
 from typing_extensions import Literal, TypeAlias
 
 from .base_events import Server
@@ -81,6 +81,11 @@ _ExceptionHandler: TypeAlias = Callable[[AbstractEventLoop, _Context], Any]
 _ProtocolFactory: TypeAlias = Callable[[], BaseProtocol]
 _SSLContext: TypeAlias = bool | None | ssl.SSLContext
 
+class _TaskFactory(Protocol):
+    def __call__(
+        self, __loop: AbstractEventLoop, __factory: Coroutine[Any, Any, _T] | Generator[Any, None, _T]
+    ) -> Future[_T]: ...
+
 class Handle:
     _cancelled: bool
     _args: Sequence[Any]
@@ -203,9 +208,9 @@ class AbstractEventLoop:
         def create_task(self, coro: Coroutine[Any, Any, _T] | Generator[Any, None, _T]) -> Task[_T]: ...
 
     @abstractmethod
-    def set_task_factory(self, factory: Callable[[AbstractEventLoop, Generator[Any, None, _T]], Future[_T]] | None) -> None: ...
+    def set_task_factory(self, factory: _TaskFactory | None) -> None: ...
     @abstractmethod
-    def get_task_factory(self) -> Callable[[AbstractEventLoop, Generator[Any, None, _T]], Future[_T]] | None: ...
+    def get_task_factory(self) -> _TaskFactory | None: ...
     # Methods for interacting with threads
     if sys.version_info >= (3, 9):  # "context" added in 3.9.10/3.10.2
         @abstractmethod