diff --git a/stdlib/2/__builtin__.pyi b/stdlib/2/__builtin__.pyi
index 24c93a18e857..650a19fa8a26 100644
--- a/stdlib/2/__builtin__.pyi
+++ b/stdlib/2/__builtin__.pyi
@@ -82,6 +82,7 @@ _T4 = TypeVar("_T4")
 _T5 = TypeVar("_T5")
 _TT = TypeVar("_TT", bound="type")
 _LT = TypeVar("_LT", bound=_SupportsLessThan)
+_TBE = TypeVar("_TBE", bound="BaseException")
 
 class object:
     __doc__: Optional[str]
@@ -1775,7 +1776,7 @@ class BaseException(object):
         def __getitem__(self, i: int) -> Any: ...
         def __getslice__(self, start: int, stop: int) -> Tuple[Any, ...]: ...
     if sys.version_info >= (3,):
-        def with_traceback(self, tb: Optional[TracebackType]) -> BaseException: ...
+        def with_traceback(self: _TBE, tb: Optional[TracebackType]) -> _TBE: ...
 
 class GeneratorExit(BaseException): ...
 class KeyboardInterrupt(BaseException): ...
diff --git a/stdlib/2and3/builtins.pyi b/stdlib/2and3/builtins.pyi
index 24c93a18e857..650a19fa8a26 100644
--- a/stdlib/2and3/builtins.pyi
+++ b/stdlib/2and3/builtins.pyi
@@ -82,6 +82,7 @@ _T4 = TypeVar("_T4")
 _T5 = TypeVar("_T5")
 _TT = TypeVar("_TT", bound="type")
 _LT = TypeVar("_LT", bound=_SupportsLessThan)
+_TBE = TypeVar("_TBE", bound="BaseException")
 
 class object:
     __doc__: Optional[str]
@@ -1775,7 +1776,7 @@ class BaseException(object):
         def __getitem__(self, i: int) -> Any: ...
         def __getslice__(self, start: int, stop: int) -> Tuple[Any, ...]: ...
     if sys.version_info >= (3,):
-        def with_traceback(self, tb: Optional[TracebackType]) -> BaseException: ...
+        def with_traceback(self: _TBE, tb: Optional[TracebackType]) -> _TBE: ...
 
 class GeneratorExit(BaseException): ...
 class KeyboardInterrupt(BaseException): ...