diff --git a/stdlib/typing.pyi b/stdlib/typing.pyi
index a56ea8c8c..195645af4 100644
--- a/stdlib/typing.pyi
+++ b/stdlib/typing.pyi
@@ -29,11 +29,17 @@ class TypeVar:
         covariant: bool = ...,
         contravariant: bool = ...,
     ) -> None: ...
+    if sys.version_info >= (3, 10):
+        def __or__(self, other: Any) -> _SpecialForm: ...
+        def __ror__(self, other: Any) -> _SpecialForm: ...
 
 _promote = object()
 
 class _SpecialForm:
     def __getitem__(self, typeargs: Any) -> object: ...
+    if sys.version_info >= (3, 10):
+        def __or__(self, other: Any) -> _SpecialForm: ...
+        def __ror__(self, other: Any) -> _SpecialForm: ...
 
 _F = TypeVar("_F", bound=Callable[..., Any])
 _P = _ParamSpec("_P")
@@ -80,6 +86,8 @@ if sys.version_info >= (3, 10):
         def args(self) -> ParamSpecArgs: ...
         @property
         def kwargs(self) -> ParamSpecKwargs: ...
+        def __or__(self, other: Any) -> _SpecialForm: ...
+        def __ror__(self, other: Any) -> _SpecialForm: ...
     Concatenate: _SpecialForm = ...
     TypeAlias: _SpecialForm = ...
     TypeGuard: _SpecialForm = ...
@@ -727,6 +735,9 @@ if sys.version_info >= (3, 7):
         def __eq__(self, other: Any) -> bool: ...
         def __hash__(self) -> int: ...
         def __repr__(self) -> str: ...
+        if sys.version_info >= (3, 11):
+            def __or__(self, other: Any) -> _SpecialForm: ...
+            def __ror__(self, other: Any) -> _SpecialForm: ...
 
 if sys.version_info >= (3, 10):
     def is_typeddict(tp: Any) -> bool: ...