diff --git a/stdlib/3.4/asyncio/events.pyi b/stdlib/3.4/asyncio/events.pyi
index 90090d5ce..6a444ab2a 100644
--- a/stdlib/3.4/asyncio/events.pyi
+++ b/stdlib/3.4/asyncio/events.pyi
@@ -1,3 +1,4 @@
+import selectors
 from socket import socket
 import ssl
 import sys
@@ -124,7 +125,7 @@ class AbstractEventLoop(metaclass=ABCMeta):
     @abstractmethod
     @coroutine
     def create_datagram_endpoint(self, protocol_factory: _ProtocolFactory,
-                                 local_addr: str = ..., remote_addr: str = ..., *,
+                                 local_addr: Optional[Tuple[str, int]] = ..., remote_addr: Optional[Tuple[str, int]] = ..., *,
                                  family: int = ..., proto: int = ..., flags: int = ...,
                                  reuse_address: Optional[bool] = ..., reuse_port: Optional[bool] = ...,
                                  allow_broadcast: Optional[bool] = ...,
@@ -146,17 +147,17 @@ class AbstractEventLoop(metaclass=ABCMeta):
                          **kwargs: Any) -> Generator[Any, None, _TransProtPair]: ...
     @abstractmethod
     @coroutine
-    def subprocess_exec(self, protocol_factory: _ProtocolFactory, *args: List[Any], stdin: Any = ...,
+    def subprocess_exec(self, protocol_factory: _ProtocolFactory, *args: Any, stdin: Any = ...,
                         stdout: Any = ..., stderr: Any = ...,
                         **kwargs: Any) -> Generator[Any, None, _TransProtPair]: ...
     @abstractmethod
-    def add_reader(self, fd: int, callback: Callable[..., Any], *args: List[Any]) -> None: ...
+    def add_reader(self, fd: selectors._FileObject, callback: Callable[..., Any], *args: Any) -> None: ...
     @abstractmethod
-    def remove_reader(self, fd: int) -> None: ...
+    def remove_reader(self, fd: selectors._FileObject) -> None: ...
     @abstractmethod
-    def add_writer(self, fd: int, callback: Callable[..., Any], *args: List[Any]) -> None: ...
+    def add_writer(self, fd: selectors._FileObject, callback: Callable[..., Any], *args: Any) -> None: ...
     @abstractmethod
-    def remove_writer(self, fd: int) -> None: ...
+    def remove_writer(self, fd: selectors._FileObject) -> None: ...
     # Completion based I/O methods returning Futures.
     @abstractmethod
     @coroutine
@@ -172,7 +173,7 @@ class AbstractEventLoop(metaclass=ABCMeta):
     def sock_accept(self, sock: socket) -> Generator[Any, None, Tuple[socket, Any]]: ...
     # Signal handling.
     @abstractmethod
-    def add_signal_handler(self, sig: int, callback: Callable[..., Any], *args: List[Any]) -> None: ...
+    def add_signal_handler(self, sig: int, callback: Callable[..., Any], *args: Any) -> None: ...
     @abstractmethod
     def remove_signal_handler(self, sig: int) -> None: ...
     # Error handlers.
diff --git a/stdlib/3.4/asyncio/transports.pyi b/stdlib/3.4/asyncio/transports.pyi
index a8a3d3e1d..9ea6688d7 100644
--- a/stdlib/3.4/asyncio/transports.pyi
+++ b/stdlib/3.4/asyncio/transports.pyi
@@ -1,4 +1,4 @@
-from typing import Dict, Any, TypeVar, Mapping, List
+from typing import Dict, Any, TypeVar, Mapping, List, Optional, Tuple
 
 __all__: List[str]
 
@@ -26,7 +26,7 @@ class WriteTransport(BaseTransport):
 class Transport(ReadTransport, WriteTransport): ...
 
 class DatagramTransport(BaseTransport):
-    def sendto(self, data: Any, addr: str = ...) -> None: ...
+    def sendto(self, data: Any, addr: Optional[Tuple[str, int]] = ...) -> None: ...
     def abort(self) -> None: ...
 
 class SubprocessTransport(BaseTransport):