diff --git a/Lib/typing.py b/Lib/typing.py
index 95bd61c7f8c61f..990fbe85ec0a12 100644
--- a/Lib/typing.py
+++ b/Lib/typing.py
@@ -1440,6 +1440,8 @@ def _determine_new_args(self, args):
             substfunc = getattr(old_arg, '__typing_subst__', None)
             if substfunc:
                 new_arg = substfunc(new_arg_by_param[old_arg])
+            elif not isinstance(old_arg, (_GenericAlias, GenericAlias, types.UnionType)):
+                new_arg = old_arg
             else:
                 subparams = getattr(old_arg, '__parameters__', ())
                 if not subparams:
diff --git a/Misc/NEWS.d/next/Library/2022-10-29-19-29-35.gh-issue-98852.jR9qxY.rst b/Misc/NEWS.d/next/Library/2022-10-29-19-29-35.gh-issue-98852.jR9qxY.rst
new file mode 100644
index 00000000000000..c3b05c66450033
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2022-10-29-19-29-35.gh-issue-98852.jR9qxY.rst
@@ -0,0 +1 @@
+Add extra type check in ``_determine_new_args`` to avoid a bug with parameterizing generics.