diff --git a/sentry_sdk/integrations/huey.py b/sentry_sdk/integrations/huey.py
index 9a3bfb9b99..433a7c17c6 100644
--- a/sentry_sdk/integrations/huey.py
+++ b/sentry_sdk/integrations/huey.py
@@ -166,7 +166,8 @@ def _sentry_execute(self, task, timestamp=None):
                     source=TRANSACTION_SOURCE_TASK,
                     origin=HueyIntegration.origin,
                 ) as transaction:
+                    return_value = old_execute(self, task, timestamp)
                     transaction.set_status(SPANSTATUS.OK)
-                    return old_execute(self, task, timestamp)
+                    return return_value
 
     Huey._execute = _sentry_execute
diff --git a/sentry_sdk/tracing.py b/sentry_sdk/tracing.py
index aba7d4f49d..2bc3c9b8a7 100644
--- a/sentry_sdk/tracing.py
+++ b/sentry_sdk/tracing.py
@@ -1541,13 +1541,17 @@ def set_attribute(self, key, value):
     def set_status(self, status):
         # type: (str) -> None
         if status == SPANSTATUS.OK:
-            otel_status = StatusCode.OK
-            otel_description = None
+            # Do not set status if it's already set.
+            # We would override an error status with OK.
+            if self._otel_span.status.status_code == StatusCode.UNSET:
+                self._otel_span.set_status(StatusCode.OK, None)
         else:
-            otel_status = StatusCode.ERROR
-            otel_description = status
+            # OpenTelemetry does not allow setting and error status
+            # if the span is already set to OK
+            if self._otel_span.status.status_code == StatusCode.OK:
+                return
 
-        self._otel_span.set_status(otel_status, otel_description)
+            self._otel_span.set_status(StatusCode.ERROR, status)
 
     def set_measurement(self, name, value, unit=""):
         # type: (str, float, MeasurementUnit) -> None