diff --git a/stdlib/2/os/path.pyi b/stdlib/2/os/path.pyi
index 78e21a3f96a5..037928c68194 100644
--- a/stdlib/2/os/path.pyi
+++ b/stdlib/2/os/path.pyi
@@ -100,7 +100,10 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(list: Sequence[_PathType]) -> Any: ...
 
-def exists(path: _PathType) -> bool: ...
+if sys.version_info >= (3, 3):
+    def exists(path: Union[_PathType, int]) -> bool: ...
+else:
+    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,
diff --git a/stdlib/3/os/path.pyi b/stdlib/3/os/path.pyi
index 78e21a3f96a5..037928c68194 100644
--- a/stdlib/3/os/path.pyi
+++ b/stdlib/3/os/path.pyi
@@ -100,7 +100,10 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(list: Sequence[_PathType]) -> Any: ...
 
-def exists(path: _PathType) -> bool: ...
+if sys.version_info >= (3, 3):
+    def exists(path: Union[_PathType, int]) -> bool: ...
+else:
+    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,