diff --git a/stdlib/2and3/zipfile.pyi b/stdlib/2and3/zipfile.pyi
index a7737215d0dd..1216371e9184 100644
--- a/stdlib/2and3/zipfile.pyi
+++ b/stdlib/2and3/zipfile.pyi
@@ -8,7 +8,7 @@ import sys
 
 
 if sys.version_info >= (3, 6):
-    _Path = Union[os.PathLike[Text], Text]
+    _Path = Union[os.PathLike[str], str]
 else:
     _Path = Text
 _SZI = Union[Text, ZipInfo]
@@ -51,8 +51,30 @@ class ZipFile:
     fp: IO[bytes]
     NameToInfo: Dict[Text, ZipInfo]
     start_dir: int  # undocumented
-    def __init__(self, file: Union[_Path, IO[bytes]], mode: Text = ..., compression: int = ...,
-                 allowZip64: bool = ...) -> None: ...
+    if sys.version_info >= (3, 8):
+        def __init__(
+            self,
+            file: Union[_Path, IO[bytes]],
+            mode: Text = ...,
+            compression: int = ...,
+            allowZip64: bool = ...,
+            compresslevel: Optional[int] = ...,
+            *,
+            strict_timestamps: bool = ...,
+        ) -> None: ...
+    elif sys.version_info >= (3, 7):
+        def __init__(
+            self,
+            file: Union[_Path, IO[bytes]],
+            mode: Text = ...,
+            compression: int = ...,
+            allowZip64: bool = ...,
+            compresslevel: Optional[int] = ...,
+        ) -> None: ...
+    else:
+        def __init__(
+            self, file: Union[_Path, IO[bytes]], mode: Text = ..., compression: int = ..., allowZip64: bool = ...,
+        ) -> None: ...
     def __enter__(self) -> ZipFile: ...
     def __exit__(self, exc_type: Optional[Type[BaseException]],
                  exc_val: Optional[BaseException],