diff --git a/core/modules/responsive_image/responsive_image.post_update.php b/core/modules/responsive_image/responsive_image.post_update.php
index 1598c4c..d6767f7 100644
--- a/core/modules/responsive_image/responsive_image.post_update.php
+++ b/core/modules/responsive_image/responsive_image.post_update.php
@@ -9,7 +9,7 @@
 use Drupal\Core\Entity\Entity\EntityViewDisplay;
 
 /**
- * @addtogroup updates-8.0.x
+ * @addtogroup updates-8.1.x
  * @{
  */
 
@@ -19,10 +19,14 @@
 function responsive_image_post_update_recreate_dependencies() {
   $displays = EntityViewDisplay::loadMultiple();
   array_walk($displays, function(EntityViewDisplayInterface $entity_view_display) {
-    $entity_view_display->save();
+    $old_dependencies = $entity_view_display->getDependencies();
+    $new_dependencies = $entity_view_display->calculateDependencies()->getDependencies();
+    if ($old_dependencies !== $new_dependencies) {
+      $entity_view_display->save();
+    }
   });
 }
 
 /**
- * @} End of "addtogroup updates-8.0.x".
+ * @} End of "addtogroup updates-8.1.x".
  */