diff --git a/stdlib/asyncio/base_events.pyi b/stdlib/asyncio/base_events.pyi
index c8eef793c..71e4487ba 100644
--- a/stdlib/asyncio/base_events.pyi
+++ b/stdlib/asyncio/base_events.pyi
@@ -14,6 +14,9 @@ from typing_extensions import Literal
 if sys.version_info >= (3, 7):
     from contextvars import Context
 
+if sys.version_info >= (3, 9):
+    __all__ = ("BaseEventLoop", "Server")
+elif sys.version_info >= (3, 7):
     __all__ = ("BaseEventLoop",)
 else:
     __all__ = ["BaseEventLoop"]
diff --git a/tests/stubtest_allowlists/py310.txt b/tests/stubtest_allowlists/py310.txt
index 07c6b5338..994cd25a0 100644
--- a/tests/stubtest_allowlists/py310.txt
+++ b/tests/stubtest_allowlists/py310.txt
@@ -33,10 +33,12 @@ ast.Index.__new__
 ast.NameConstant.__new__
 ast.Num.__new__
 ast.Str.__new__
+asyncio.base_events.__all__  # Fixed in 3.10.3
 asyncio.Future.__init__  # Usually initialized from c object
 asyncio.Future._callbacks  # Usually initialized from c object
 asyncio.futures.Future.__init__  # Usually initialized from c object
 asyncio.futures.Future._callbacks  # Usually initialized from c object
+asyncio.Server  # Fixed in 3.10.3
 builtins.dict.get
 builtins.float.__set_format__  # Internal method for CPython test suite
 builtins.property.__set_name__  # Doesn't actually exist
diff --git a/tests/stubtest_allowlists/py39.txt b/tests/stubtest_allowlists/py39.txt
index e3510b9fb..f09e5171a 100644
--- a/tests/stubtest_allowlists/py39.txt
+++ b/tests/stubtest_allowlists/py39.txt
@@ -15,10 +15,12 @@ ast.Index.__new__
 ast.NameConstant.__new__
 ast.Num.__new__
 ast.Str.__new__
+asyncio.base_events.__all__  # Fixed in 3.9.11
 asyncio.Future.__init__  # Usually initialized from c object
 asyncio.Future._callbacks  # Usually initialized from c object
 asyncio.futures.Future.__init__  # Usually initialized from c object
 asyncio.futures.Future._callbacks  # Usually initialized from c object
+asyncio.Server  # Fixed in 3.9.11
 builtins.dict.get
 builtins.float.__set_format__  # Internal method for CPython test suite
 collections.AsyncGenerator.asend  # async at runtime, deliberately not in the stub, see #7491. Pos-only differences also.