diff --git a/stdlib/@tests/test_cases/asyncio/check_task.py b/stdlib/@tests/test_cases/asyncio/check_task.py
index 69bcf8f782aa..6aca768d4b8e 100644
--- a/stdlib/@tests/test_cases/asyncio/check_task.py
+++ b/stdlib/@tests/test_cases/asyncio/check_task.py
@@ -1,6 +1,10 @@
 from __future__ import annotations
 
 import asyncio
+import sys
+from asyncio.base_events import BaseEventLoop
+from collections.abc import Coroutine
+from typing import Any
 
 
 class Waiter:
@@ -18,6 +22,15 @@ async def foo() -> int:
     return 42
 
 
+if sys.version_info >= (3, 13):
+
+    def check_loop_create_task_eager_start(
+        loop: asyncio.AbstractEventLoop, base_loop: BaseEventLoop, coro: Coroutine[Any, Any, int]
+    ) -> None:
+        loop.create_task(coro, eager_start=True)
+        base_loop.create_task(coro, eager_start=True)
+
+
 async def main() -> None:
     # asyncio.Task is covariant in its type argument, which is unusual since its parent class
     # asyncio.Future is invariant in its type argument. This is only sound because asyncio.Task
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,