diff --git a/aloscene/tensors/augmented_tensor.py b/aloscene/tensors/augmented_tensor.py
index a1661f8c..774da007 100644
--- a/aloscene/tensors/augmented_tensor.py
+++ b/aloscene/tensors/augmented_tensor.py
@@ -611,6 +611,9 @@ def _reset_names(l):
             self_ref_tensor = self.rename_(*self._saved_names)
             self_ref_tensor._saved_names = None
             return self_ref_tensor
+        elif self._saved_names is not None and not any(v is not None for v in self._saved_names):
+            self._saved_names = None
+            return self
         else:
             return self