diff --git a/stdlib/asyncio/__init__.pyi b/stdlib/asyncio/__init__.pyi
index c4e000d23..2ce066cac 100644
--- a/stdlib/asyncio/__init__.pyi
+++ b/stdlib/asyncio/__init__.pyi
@@ -1,5 +1,5 @@
 import sys
-from collections.abc import Coroutine, Generator
+from collections.abc import Awaitable, Coroutine, Generator
 from typing import Any, TypeVar
 from typing_extensions import TypeAlias
 
@@ -36,6 +36,8 @@ _T = TypeVar("_T")
 
 # Aliases imported by multiple submodules in typeshed
 if sys.version_info >= (3, 12):
+    _AwaitableLike: TypeAlias = Awaitable[_T]
     _CoroutineLike: TypeAlias = Coroutine[Any, Any, _T]
 else:
+    _AwaitableLike: TypeAlias = Generator[Any, None, _T] | Awaitable[_T]
     _CoroutineLike: TypeAlias = Generator[Any, None, _T] | Coroutine[Any, Any, _T]
diff --git a/stdlib/asyncio/base_events.pyi b/stdlib/asyncio/base_events.pyi
index 9dcefc8b3..fd765fdb0 100644
--- a/stdlib/asyncio/base_events.pyi
+++ b/stdlib/asyncio/base_events.pyi
@@ -1,13 +1,13 @@
 import ssl
 import sys
 from _typeshed import FileDescriptorLike, ReadableBuffer, WriteableBuffer
-from asyncio import _CoroutineLike
+from asyncio import _AwaitableLike, _CoroutineLike
 from asyncio.events import AbstractEventLoop, AbstractServer, Handle, TimerHandle, _TaskFactory
 from asyncio.futures import Future
 from asyncio.protocols import BaseProtocol
 from asyncio.tasks import Task
 from asyncio.transports import BaseTransport, DatagramTransport, ReadTransport, SubprocessTransport, Transport, WriteTransport
-from collections.abc import Awaitable, Callable, Generator, Iterable, Sequence
+from collections.abc import Callable, Iterable, Sequence
 from contextvars import Context
 from socket import AddressFamily, SocketKind, _Address, _RetAddress, socket
 from typing import IO, Any, TypeVar, overload
@@ -64,11 +64,7 @@ class Server(AbstractServer):
 
 class BaseEventLoop(AbstractEventLoop):
     def run_forever(self) -> None: ...
-    # Can't use a union, see mypy issue  # 1873.
-    @overload
-    def run_until_complete(self, future: Generator[Any, None, _T]) -> _T: ...
-    @overload
-    def run_until_complete(self, future: Awaitable[_T]) -> _T: ...
+    def run_until_complete(self, future: _AwaitableLike[_T]) -> _T: ...
     def stop(self) -> None: ...
     def is_running(self) -> bool: ...
     def is_closed(self) -> bool: ...
diff --git a/stdlib/asyncio/events.pyi b/stdlib/asyncio/events.pyi
index 4776aaa5d..11112bb2e 100644
--- a/stdlib/asyncio/events.pyi
+++ b/stdlib/asyncio/events.pyi
@@ -2,13 +2,13 @@ import ssl
 import sys
 from _typeshed import FileDescriptorLike, ReadableBuffer, StrPath, Unused, WriteableBuffer
 from abc import ABCMeta, abstractmethod
-from collections.abc import Awaitable, Callable, Coroutine, Generator, Sequence
+from collections.abc import Callable, Coroutine, Generator, Sequence
 from contextvars import Context
 from socket import AddressFamily, SocketKind, _Address, _RetAddress, socket
 from typing import IO, Any, Protocol, TypeVar, overload
 from typing_extensions import Literal, Self, TypeAlias
 
-from . import _CoroutineLike
+from . import _AwaitableLike, _CoroutineLike
 from .base_events import Server
 from .futures import Future
 from .protocols import BaseProtocol
@@ -113,13 +113,8 @@ class AbstractEventLoop:
     slow_callback_duration: float
     @abstractmethod
     def run_forever(self) -> None: ...
-    # Can't use a union, see mypy issue  # 1873.
-    @overload
     @abstractmethod
-    def run_until_complete(self, future: Generator[Any, None, _T]) -> _T: ...
-    @overload
-    @abstractmethod
-    def run_until_complete(self, future: Awaitable[_T]) -> _T: ...
+    def run_until_complete(self, future: _AwaitableLike[_T]) -> _T: ...
     @abstractmethod
     def stop(self) -> None: ...
     @abstractmethod