diff --git a/pydantic/v1/typing.py b/pydantic/v1/typing.py
index a690a053a26..c435fb11528 100644
--- a/pydantic/v1/typing.py
+++ b/pydantic/v1/typing.py
@@ -54,16 +54,16 @@
 
 
 if sys.version_info < (3, 9):
-
     def evaluate_forwardref(type_: ForwardRef, globalns: Any, localns: Any) -> Any:
         return type_._evaluate(globalns, localns)
 
 else:
-
     def evaluate_forwardref(type_: ForwardRef, globalns: Any, localns: Any) -> Any:
         # Even though it is the right signature for python 3.9, mypy complains with
         # `error: Too many arguments for "_evaluate" of "ForwardRef"` hence the cast...
-        return cast(Any, type_)._evaluate(globalns, localns, set())
+        # Note 3.13/3.12.4+ made `recursive_guard` a kwarg, so name it explicitly to avoid:
+        # TypeError: ForwardRef._evaluate() missing 1 required keyword-only argument: 'recursive_guard'
+        return cast(Any, type_)._evaluate(globalns, localns, recursive_guard=set())
 
 
 if sys.version_info < (3, 9):