diff --git a/stdlib/3/asyncio/base_events.pyi b/stdlib/3/asyncio/base_events.pyi
index db62aebe8..3705a1124 100644
--- a/stdlib/3/asyncio/base_events.pyi
+++ b/stdlib/3/asyncio/base_events.pyi
@@ -218,3 +218,5 @@ class BaseEventLoop(AbstractEventLoop, metaclass=ABCMeta):
     # Debug flag management.
     def get_debug(self) -> bool: ...
     def set_debug(self, enabled: bool) -> None: ...
+    if sys.version_info >= (3, 9):
+        async def shutdown_default_executor(self) -> None: ...
diff --git a/stdlib/3/asyncio/events.pyi b/stdlib/3/asyncio/events.pyi
index a5815c8bd..d3c811949 100644
--- a/stdlib/3/asyncio/events.pyi
+++ b/stdlib/3/asyncio/events.pyi
@@ -293,6 +293,9 @@ class AbstractEventLoop(metaclass=ABCMeta):
     def get_debug(self) -> bool: ...
     @abstractmethod
     def set_debug(self, enabled: bool) -> None: ...
+    if sys.version_info >= (3, 9):
+        @abstractmethod
+        async def shutdown_default_executor(self) -> None: ...
 
 class AbstractEventLoopPolicy(metaclass=ABCMeta):
     @abstractmethod