diff --git a/stdlib/@python2/distutils/util.pyi b/stdlib/@python2/distutils/util.pyi
index 6f5e755f5..935a695e5 100644
--- a/stdlib/@python2/distutils/util.pyi
+++ b/stdlib/@python2/distutils/util.pyi
@@ -1,4 +1,5 @@
 from typing import Any, Callable, Mapping
+from typing_extensions import Literal
 
 def get_platform() -> str: ...
 def convert_path(pathname: str) -> str: ...
@@ -9,7 +10,7 @@ def split_quoted(s: str) -> list[str]: ...
 def execute(
     func: Callable[..., None], args: tuple[Any, ...], msg: str | None = ..., verbose: bool = ..., dry_run: bool = ...
 ) -> None: ...
-def strtobool(val: str) -> bool: ...
+def strtobool(val: str) -> Literal[0, 1]: ...
 def byte_compile(
     py_files: list[str],
     optimize: int = ...,
diff --git a/stdlib/distutils/util.pyi b/stdlib/distutils/util.pyi
index 03ee0185c..22d982e69 100644
--- a/stdlib/distutils/util.pyi
+++ b/stdlib/distutils/util.pyi
@@ -1,6 +1,7 @@
 from _typeshed import StrPath
 from collections.abc import Callable, Container, Iterable, Mapping
 from typing import Any
+from typing_extensions import Literal
 
 def get_platform() -> str: ...
 def convert_path(pathname: str) -> str: ...
@@ -11,7 +12,7 @@ def split_quoted(s: str) -> list[str]: ...
 def execute(
     func: Callable[..., None], args: tuple[Any, ...], msg: str | None = ..., verbose: bool = ..., dry_run: bool = ...
 ) -> None: ...
-def strtobool(val: str) -> bool: ...
+def strtobool(val: str) -> Literal[0, 1]: ...
 def byte_compile(
     py_files: list[str],
     optimize: int = ...,