diff --git a/sanic/app.py b/sanic/app.py
index b79d16e4..70d7b0b5 100644
--- a/sanic/app.py
+++ b/sanic/app.py
@@ -992,10 +992,10 @@ class Sanic(BaseSanic, RunnerMixin, metaclass=TouchUpMeta):
         cancelled = False
         try:
             await fut
-        except Exception as e:
-            self.error_handler.log(request, e)
         except (CancelledError, ConnectionClosed):
             cancelled = True
+        except Exception as e:
+            self.error_handler.log(request, e)
         finally:
             self.websocket_tasks.remove(fut)
             if cancelled: