diff --git a/src/websockets/asyncio/messages.py b/src/websockets/asyncio/messages.py
index c68e5d96..2cb0ec4e 100644
--- a/src/websockets/asyncio/messages.py
+++ b/src/websockets/asyncio/messages.py
@@ -113,7 +113,7 @@ def __init__(  # pragma: no cover
         # This flag prevents concurrent calls to get() by user code.
         self.get_in_progress = False
 
-        # This flag marks a soon cancellation
+        # This flag marks a soon cancellation.
         self.cancelling = False
 
         # This flag marks the end of the connection.
diff --git a/src/websockets/sync/messages.py b/src/websockets/sync/messages.py
index 98490797..7d21a4fa 100644
--- a/src/websockets/sync/messages.py
+++ b/src/websockets/sync/messages.py
@@ -291,7 +291,7 @@ def close(self) -> None:
         """
         End the stream of frames.
 
-        Callling :meth:`close` concurrently with :meth:`get`, :meth:`get_iter`,
+        Calling :meth:`close` concurrently with :meth:`get`, :meth:`get_iter`,
         or :meth:`put` is safe. They will raise :exc:`EOFError`.
 
         """