diff --git a/stdlib/2and3/cProfile.pyi b/stdlib/2and3/cProfile.pyi
index b31ea0337..dea70bf48 100644
--- a/stdlib/2and3/cProfile.pyi
+++ b/stdlib/2and3/cProfile.pyi
@@ -1,7 +1,7 @@
-from typing import Any, Callable, Dict, Optional, TypeVar
+from typing import Any, Callable, Dict, Optional, TypeVar, Union
 
-def run(statement: str, filename: Optional[str] = ..., sort: int = ...) -> None: ...
-def runctx(statement: str, globals: Dict[str, Any], locals: Dict[str, Any], filename: Optional[str] = ..., sort: int = ...) -> None: ...
+def run(statement: str, filename: Optional[str] = ..., sort: Union[str, int] = ...) -> None: ...
+def runctx(statement: str, globals: Dict[str, Any], locals: Dict[str, Any], filename: Optional[str] = ..., sort: Union[str, int] = ...) -> None: ...
 
 _SelfT = TypeVar('_SelfT', bound='Profile')
 _T = TypeVar('_T')
@@ -10,7 +10,7 @@ class Profile:
     def __init__(self, custom_timer: Callable[[], float] = ..., time_unit: float = ..., subcalls: bool = ..., builtins: bool = ...) -> None: ...
     def enable(self) -> None: ...
     def disable(self) -> None: ...
-    def print_stats(self, sort: int = ...) -> None: ...
+    def print_stats(self, sort: Union[str, int] = ...) -> None: ...
     def dump_stats(self, file: str) -> None: ...
     def create_stats(self) -> None: ...
     def run(self: _SelfT, cmd: str) -> _SelfT: ...
diff --git a/stdlib/2and3/profile.pyi b/stdlib/2and3/profile.pyi
index 21a7c8fd4..72952a021 100644
--- a/stdlib/2and3/profile.pyi
+++ b/stdlib/2and3/profile.pyi
@@ -1,7 +1,7 @@
-from typing import Any, Callable, Dict, Optional, TypeVar
+from typing import Any, Callable, Dict, Optional, TypeVar, Union
 
-def run(statement: str, filename: Optional[str] = ..., sort: int = ...) -> None: ...
-def runctx(statement: str, globals: Dict[str, Any], locals: Dict[str, Any], filename: Optional[str] = ..., sort: int = ...) -> None: ...
+def run(statement: str, filename: Optional[str] = ..., sort: Union[str, int] = ...) -> None: ...
+def runctx(statement: str, globals: Dict[str, Any], locals: Dict[str, Any], filename: Optional[str] = ..., sort: Union[str, int] = ...) -> None: ...
 
 _SelfT = TypeVar('_SelfT', bound='Profile')
 _T = TypeVar('_T')
@@ -11,7 +11,7 @@ class Profile:
     def set_cmd(self, cmd: str) -> None: ...
     def simulate_call(self, name: str) -> None: ...
     def simulate_cmd_complete(self) -> None: ...
-    def print_stats(self, sort: int = ...) -> None: ...
+    def print_stats(self, sort: Union[str, int] = ...) -> None: ...
     def dump_stats(self, file: str) -> None: ...
     def create_stats(self) -> None: ...
     def snapshot_stats(self) -> None: ...