diff --git a/sentry_sdk/integrations/flask.py b/sentry_sdk/integrations/flask.py
index 975b776f3e..196f92bc2a 100644
--- a/sentry_sdk/integrations/flask.py
+++ b/sentry_sdk/integrations/flask.py
@@ -156,6 +156,7 @@ def _request_started(app, **kwargs):
 
 
 def _request_finished(sender, response, **kwargs):
+    # type: (Flask, Any, **Any) -> None
     # Manually close the transaction because Flask does not call `close()` on the WSGI response
     finish_running_transaction()
 
diff --git a/sentry_sdk/integrations/wsgi.py b/sentry_sdk/integrations/wsgi.py
index 42700a0c02..780beeb69a 100644
--- a/sentry_sdk/integrations/wsgi.py
+++ b/sentry_sdk/integrations/wsgi.py
@@ -257,21 +257,24 @@ def __iter__(self):
         # type: () -> Iterator[bytes]
         iterator = iter(self._response)
 
-        while True:
-            with use_isolation_scope(self._isolation_scope):
-                with use_scope(self._current_scope):
-                    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()
-                        break
-                    except BaseException:
-                        reraise(*_capture_exception())
+        try:
+            while True:
+                with use_isolation_scope(self._isolation_scope):
+                    with use_scope(self._current_scope):
+                        try:
+                            chunk = next(iterator)
+                        except StopIteration:
+                            break
+                        except BaseException:
+                            reraise(*_capture_exception())
+
+                yield chunk
 
-            yield chunk
+        finally:
+            # 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)
 
     def close(self):
         # type: () -> None
diff --git a/sentry_sdk/tracing_utils.py b/sentry_sdk/tracing_utils.py
index cd4e71528c..90656698f9 100644
--- a/sentry_sdk/tracing_utils.py
+++ b/sentry_sdk/tracing_utils.py
@@ -726,9 +726,9 @@ def get_current_span(scope=None):
     from sentry_sdk.tracing import Span
 
 
-def finish_running_transaction():
-    # type: () -> None
-    current_scope = sentry_sdk.get_current_scope()
+def finish_running_transaction(scope):
+    # type: (Optional[sentry_sdk.Scope]) -> None
+    current_scope = scope or sentry_sdk.get_current_scope()
     if current_scope.transaction is not None and hasattr(
         current_scope.transaction, "_context_manager_state"
     ):