diff --git a/stdlib/3/unittest/__init__.pyi b/stdlib/3/unittest/__init__.pyi
index 0e074099f..77b79de12 100644
--- a/stdlib/3/unittest/__init__.pyi
+++ b/stdlib/3/unittest/__init__.pyi
@@ -327,4 +327,7 @@ def main(module: str = ..., defaultTest: _DefaultTestType = ...,
 def installHandler() -> None: ...
 def registerResult(result: TestResult) -> None: ...
 def removeResult(result: TestResult) -> None: ...
-def removeHandler(function: Optional[_FT]) -> _FT: ...
+@overload
+def removeHandler() -> None: ...
+@overload
+def removeHandler(function: _FT) -> _FT: ...