diff --git a/stdlib/asyncio/base_events.pyi b/stdlib/asyncio/base_events.pyi
index 3c7d8c2ce02e..056d9a2d36c9 100644
--- a/stdlib/asyncio/base_events.pyi
+++ b/stdlib/asyncio/base_events.pyi
@@ -83,7 +83,8 @@ class BaseEventLoop(AbstractEventLoop):
     # Future methods
     def create_future(self) -> Future[Any]: ...
     # Tasks methods
-    if sys.version_info >= (3, 14):
+    # `eager_start` is supported as an arbitrary kwarg starting in 3.13.3.
+    if sys.version_info >= (3, 13):
         def create_task(
             self,
             coro: _CoroutineLike[_T],
diff --git a/stdlib/asyncio/events.pyi b/stdlib/asyncio/events.pyi
index db826ff1c2e5..12978a97679f 100644
--- a/stdlib/asyncio/events.pyi
+++ b/stdlib/asyncio/events.pyi
@@ -161,7 +161,8 @@ class AbstractEventLoop:
     @abstractmethod
     def create_future(self) -> Future[Any]: ...
     # Tasks methods
-    if sys.version_info >= (3, 14):
+    # `eager_start` is supported as an arbitrary kwarg starting in 3.13.3.
+    if sys.version_info >= (3, 13):
         @abstractmethod
         def create_task(
             self,