diff --git a/stdlib/3.4/asyncio/events.pyi b/stdlib/3.4/asyncio/events.pyi
index 262758fbd..a7d9c4d28 100644
--- a/stdlib/3.4/asyncio/events.pyi
+++ b/stdlib/3.4/asyncio/events.pyi
@@ -16,7 +16,7 @@ class Handle:
     __slots__ = ... # type: List[str]
     _cancelled = False
     _args = ... # type: List[Any]
-    def __init__(self, callback: Callable[[],Any], args: List[Any],
+    def __init__(self, callback: Callable[..., Any], args: List[Any],
         loop: AbstractEventLoop) -> None: ...
     def __repr__(self) -> str: ...
     def cancel(self) -> None: ...
@@ -47,16 +47,16 @@ class AbstractEventLoop(metaclass=ABCMeta):
     def close(self) -> None: ...
     # Methods scheduling callbacks.  All these return Handles.
     @abstractmethod
-    def call_soon(self, callback: Callable[[],Any], *args: Any) -> Handle: ...
+    def call_soon(self, callback: Callable[..., Any], *args: Any) -> Handle: ...
     @abstractmethod
-    def call_later(self, delay: Union[int, float], callback: Callable[[],Any], *args: Any) -> Handle: ...
+    def call_later(self, delay: Union[int, float], callback: Callable[..., Any], *args: Any) -> Handle: ...
     @abstractmethod
-    def call_at(self, when: float, callback: Callable[[],Any], *args: Any) -> Handle: ...
+    def call_at(self, when: float, callback: Callable[..., Any], *args: Any) -> Handle: ...
     @abstractmethod
     def time(self) -> float: ...
     # Methods for interacting with threads
     @abstractmethod
-    def call_soon_threadsafe(self, callback: Callable[[],Any], *args: Any) -> Handle: ...
+    def call_soon_threadsafe(self, callback: Callable[..., Any], *args: Any) -> Handle: ...
     @abstractmethod
     def run_in_executor(self, executor: Any,
         callback: Callable[[],Any], *args: Any) -> Future[Any]: ...