diff --git a/stdlib/2/sqlite3/dbapi2.pyi b/stdlib/2/sqlite3/dbapi2.pyi
index 8d55e04a664f..1b5df3143125 100644
--- a/stdlib/2/sqlite3/dbapi2.pyi
+++ b/stdlib/2/sqlite3/dbapi2.pyi
@@ -1,7 +1,8 @@
 # Filip Hron <filip.hron@gmail.com>
 # based heavily on Andrey Vlasovskikh's python-skeletons https://github.com/JetBrains/python-skeletons/blob/master/sqlite3.py
 
-from typing import Any, Union, List, Iterator, Optional
+import sys
+from typing import Any, Callable, Iterator, List, Optional, Union
 from datetime import time, datetime
 from collections import Iterable
 
@@ -120,6 +121,10 @@ class Connection(object):
     # set_progress_handler(handler, n) -> see https://docs.python.org/2/library/sqlite3.html#sqlite3.Connection.set_progress_handler
     def set_progress_handler(self, *args, **kwargs) -> None: ...
     def set_trace_callback(self, *args, **kwargs): ...
+    if sys.version_info >= (3, 7):
+        def backup(self, target: Connection, *, pages: int = ...,
+                   progress: Optional[Callable[[int, int, int], object]] = ..., name: str = ...,
+                   sleep: float = ...) -> None: ...
     def __call__(self, *args, **kwargs): ...
     def __enter__(self, *args, **kwargs): ...
     def __exit__(self, *args, **kwargs): ...
diff --git a/stdlib/2and3/pdb.pyi b/stdlib/2and3/pdb.pyi
index 83f2c544baef..f70a9a4397ea 100644
--- a/stdlib/2and3/pdb.pyi
+++ b/stdlib/2and3/pdb.pyi
@@ -1,30 +1,19 @@
 # NOTE: This stub is incomplete - only contains some global functions
 
+import sys
 from typing import Any, Dict, Optional
 
-def run(statement: str,
-        globals: Optional[Dict[str, Any]] = ...,
-        locals: Optional[Dict[str, Any]] = ...) -> None:
-    ...
+def run(statement: str, globals: Optional[Dict[str, Any]] = ...,
+        locals: Optional[Dict[str, Any]] = ...) -> None: ...
+def runeval(expression: str, globals: Optional[Dict[str, Any]] = ...,
+            locals: Optional[Dict[str, Any]] = ...) -> Any: ...
+def runctx(statement: str, globals: Dict[str, Any], locals: Dict[str, Any]) -> None: ...
+def runcall(*args: Any, **kwds: Any) -> Any: ...
 
-def runeval(expression: str,
-            globals: Optional[Dict[str, Any]] = ...,
-            locals: Optional[Dict[str, Any]] = ...) -> Any:
-    ...
+if sys.version_info >= (3, 7):
+    def set_trace(*, header: Optional[str] = ...) -> None: ...
+else:
+    def set_trace() -> None: ...
 
-def runctx(statement: str,
-        globals: Dict[str, Any],
-        locals: Dict[str, Any]) -> None:
-    ...
-
-def runcall(*args: Any, **kwds: Any) -> Any:
-    ...
-
-def set_trace() -> None:
-    ...
-
-def post_mortem(t: Optional[Any] = ...) -> None:
-    ...
-
-def pm() -> None:
-    ...
+def post_mortem(t: Optional[Any] = ...) -> None: ...
+def pm() -> None: ...
diff --git a/stdlib/3/os/__init__.pyi b/stdlib/3/os/__init__.pyi
index 33686542b8d5..bf909177bcfa 100644
--- a/stdlib/3/os/__init__.pyi
+++ b/stdlib/3/os/__init__.pyi
@@ -454,7 +454,16 @@ if sys.version_info >= (3, 3):
     def rmdir(path: _PathType, *, dir_fd: Optional[int] = ...) -> None: ...
 else:
     def rmdir(path: _PathType) -> None: ...
-if sys.version_info >= (3, 6):
+if sys.version_info >= (3, 7):
+    class _ScandirIterator(Iterator[DirEntry[AnyStr]], ContextManager[_ScandirIterator[AnyStr]]):
+        def close(self) -> None: ...
+    @overload
+    def scandir() -> _ScandirIterator[str]: ...
+    @overload
+    def scandir(path: int) -> _ScandirIterator[str]: ...
+    @overload
+    def scandir(path: Union[AnyStr, PathLike[AnyStr]]) -> _ScandirIterator[AnyStr]: ...
+elif sys.version_info >= (3, 6):
     class _ScandirIterator(Iterator[DirEntry[AnyStr]], ContextManager[_ScandirIterator[AnyStr]]):
         def close(self) -> None: ...
     @overload
@@ -608,3 +617,6 @@ if sys.version_info >= (3, 6):
     def urandom(size: int) -> bytes: ...
 else:
     def urandom(n: int) -> bytes: ...
+
+if sys.version_info >= (3, 7):
+    def register_at_fork(func: Callable[..., object], when: str) -> None: ...
diff --git a/stdlib/3/sqlite3/dbapi2.pyi b/stdlib/3/sqlite3/dbapi2.pyi
index fc748e2da9df..026b6b5c2138 100644
--- a/stdlib/3/sqlite3/dbapi2.pyi
+++ b/stdlib/3/sqlite3/dbapi2.pyi
@@ -120,6 +120,10 @@ class Connection:
     # set_progress_handler(handler, n) -> see https://docs.python.org/2/library/sqlite3.html#sqlite3.Connection.set_progress_handler
     def set_progress_handler(self, *args, **kwargs) -> None: ...
     def set_trace_callback(self, *args, **kwargs): ...
+    if sys.version_info >= (3, 7):
+        def backup(self, target: Connection, *, pages: int = ...,
+                   progress: Optional[Callable[[int, int, int], object]] = ..., name: str = ...,
+                   sleep: float = ...) -> None: ...
     def __call__(self, *args, **kwargs): ...
     def __enter__(self, *args, **kwargs): ...
     def __exit__(self, *args, **kwargs): ...