diff --git a/stubs/pika/pika/adapters/blocking_connection.pyi b/stubs/pika/pika/adapters/blocking_connection.pyi
index 6832239c6198..48c9ad9316a1 100644
--- a/stubs/pika/pika/adapters/blocking_connection.pyi
+++ b/stubs/pika/pika/adapters/blocking_connection.pyi
@@ -71,7 +71,7 @@ class BlockingConnection:
     def remove_timeout(self, timeout_id) -> None: ...
     def update_secret(self, new_secret, reason) -> None: ...
     def close(self, reply_code: int = 200, reply_text: str = "Normal shutdown") -> None: ...
-    def process_data_events(self, time_limit: int = 0): ...
+    def process_data_events(self, time_limit: int | None = 0) -> None: ...
     def sleep(self, duration: float) -> None: ...
     def channel(self, channel_number: int | None = None) -> BlockingChannel: ...
     @property