diff --git a/sentry_sdk/integrations/wsgi.py b/sentry_sdk/integrations/wsgi.py
index 780beeb69a..ef06e76f52 100644
--- a/sentry_sdk/integrations/wsgi.py
+++ b/sentry_sdk/integrations/wsgi.py
@@ -264,6 +264,10 @@ def __iter__(self):
                         try:
                             chunk = next(iterator)
                         except StopIteration:
+                            # Close the Sentry transaction (it could be that response.close() is never called by the framework)
+                            # This is done here to make sure the Transaction stays
+                            # open until all streaming responses are done.
+                            finish_running_transaction(self._current_scope)
                             break
                         except BaseException:
                             reraise(*_capture_exception())