diff --git a/stdlib/3/asyncio/base_events.pyi b/stdlib/3/asyncio/base_events.pyi
index 2262a67f8..31023abf1 100644
--- a/stdlib/3/asyncio/base_events.pyi
+++ b/stdlib/3/asyncio/base_events.pyi
@@ -1,5 +1,5 @@
 import selectors
-from socket import socket
+from socket import socket, _Address
 import ssl
 import sys
 from typing import Any, Awaitable, Callable, Dict, Generator, List, Optional, Sequence, Tuple, TypeVar, Union, overload
@@ -123,7 +123,7 @@ class BaseEventLoop(AbstractEventLoop):
     @coroutine
     def sock_sendall(self, sock: socket, data: bytes) -> Generator[Any, None, None]: ...
     @coroutine
-    def sock_connect(self, sock: socket, address: str) -> Generator[Any, None, None]: ...
+    def sock_connect(self, sock: socket, address: _Address) -> Generator[Any, None, None]: ...
     @coroutine
     def sock_accept(self, sock: socket) -> Generator[Any, None, Tuple[socket, Any]]: ...
     # Signal handling.
diff --git a/stdlib/3/asyncio/events.pyi b/stdlib/3/asyncio/events.pyi
index c81d027ef..3dbd60944 100644
--- a/stdlib/3/asyncio/events.pyi
+++ b/stdlib/3/asyncio/events.pyi
@@ -1,5 +1,5 @@
 import selectors
-from socket import socket
+from socket import socket, _Address
 import ssl
 import sys
 from typing import Any, Awaitable, Callable, Dict, Generator, List, Optional, Sequence, Tuple, TypeVar, Union, overload
@@ -185,7 +185,7 @@ class AbstractEventLoop(metaclass=ABCMeta):
     def sock_sendall(self, sock: socket, data: bytes) -> Generator[Any, None, None]: ...
     @abstractmethod
     @coroutine
-    def sock_connect(self, sock: socket, address: str) -> Generator[Any, None, None]: ...
+    def sock_connect(self, sock: socket, address: _Address) -> Generator[Any, None, None]: ...
     @abstractmethod
     @coroutine
     def sock_accept(self, sock: socket) -> Generator[Any, None, Tuple[socket, Any]]: ...