diff --git a/CHANGES b/CHANGES
index d07d4f132..bc1072b9f 100644
--- a/CHANGES
+++ b/CHANGES
@@ -17,6 +17,8 @@ Incompatible changes
   a ``conf.py`` file sphinx-build generates.
 * The ``gettext_compact`` attribute is removed from ``document.settings``
   object.  Please use ``config.gettext_compact`` instead.
+* The order of smart_quotes is changed.  For more detail, please read a
+  description of :py:meth:`.Sphinx.add_transform()`
 
 Deprecated
 ----------
diff --git a/sphinx/transforms/__init__.py b/sphinx/transforms/__init__.py
index b32b317bb..4f3d15752 100644
--- a/sphinx/transforms/__init__.py
+++ b/sphinx/transforms/__init__.py
@@ -343,6 +343,8 @@ class SphinxSmartQuotes(SmartQuotes, SphinxTransform):
 
     refs: sphinx.parsers.RSTParser
     """
+    default_priority = 750
+
     def apply(self):
         # type: () -> None
         if not self.is_available():