diff --git a/stdlib/itertools.pyi b/stdlib/itertools.pyi
index 16e04829c6cf..1635b6a0a072 100644
--- a/stdlib/itertools.pyi
+++ b/stdlib/itertools.pyi
@@ -326,6 +326,10 @@ if sys.version_info >= (3, 10):
 
 if sys.version_info >= (3, 12):
     class batched(Iterator[tuple[_T_co, ...]], Generic[_T_co]):
-        def __new__(cls, iterable: Iterable[_T_co], n: int) -> Self: ...
+        if sys.version_info >= (3, 13):
+            def __new__(cls, iterable: Iterable[_T_co], n: int, *, strict: bool = False) -> Self: ...
+        else:
+            def __new__(cls, iterable: Iterable[_T_co], n: int) -> Self: ...
+
         def __iter__(self) -> Self: ...
         def __next__(self) -> tuple[_T_co, ...]: ...