diff --git a/sentry_sdk/scope.py b/sentry_sdk/scope.py
index 035afaf82b..6954a46915 100644
--- a/sentry_sdk/scope.py
+++ b/sentry_sdk/scope.py
@@ -861,10 +861,7 @@ def set_transaction_name(self, name: str, source: "Optional[str]" = None) -> Non
         """Set the transaction name and optionally the transaction source."""
         self._transaction = name
         if self._span:
-            if isinstance(self._span, NoOpStreamedSpan):
-                return
-
-            elif isinstance(self._span, StreamedSpan):
+            if isinstance(self._span, StreamedSpan):
                 self._span._segment.name = name
                 if source:
                     self._span._segment.set_attribute(