diff --git a/django/contrib/postgres/search.py b/django/contrib/postgres/search.py
index c3b940d436..ff0e9cf3b5 100644
--- a/django/contrib/postgres/search.py
+++ b/django/contrib/postgres/search.py
@@ -38,7 +38,10 @@ class SearchVectorCombinable:
 
     def _combine(self, other, connector, reversed):
         if not isinstance(other, SearchVectorCombinable) or not self.config == other.config:
-            raise TypeError('SearchVector can only be combined with other SearchVectors')
+            raise TypeError(
+                'SearchVector can only be combined with other SearchVector '
+                'instances, got %s.' % type(other).__name__
+            )
         if reversed:
             return CombinedSearchVector(other, connector, self, self.config)
         return CombinedSearchVector(self, connector, other, self.config)
@@ -105,8 +108,8 @@ class SearchQueryCombinable:
     def _combine(self, other, connector, reversed):
         if not isinstance(other, SearchQueryCombinable):
             raise TypeError(
-                'SearchQuery can only be combined with other SearchQuerys, '
-                'got {}.'.format(type(other))
+                'SearchQuery can only be combined with other SearchQuery '
+                'instances, got %s.' % type(other).__name__
             )
         if reversed:
             return CombinedSearchQuery(other, connector, self, self.config)
diff --git a/tests/postgres_tests/test_search.py b/tests/postgres_tests/test_search.py
index 07b1f9e9b4..068a4afe93 100644
--- a/tests/postgres_tests/test_search.py
+++ b/tests/postgres_tests/test_search.py
@@ -289,6 +289,14 @@ class TestCombinations(GrailTestData, PostgreSQLTestCase):
         ).filter(search='bedemir')
         self.assertCountEqual(searched, [self.bedemir0, self.bedemir1, self.crowd, self.witch, self.duck])
 
+    def test_vector_combined_mismatch(self):
+        msg = (
+            'SearchVector can only be combined with other SearchVector '
+            'instances, got NoneType.'
+        )
+        with self.assertRaisesMessage(TypeError, msg):
+            Line.objects.filter(dialogue__search=None + SearchVector('character__name'))
+
     def test_query_and(self):
         searched = Line.objects.annotate(
             search=SearchVector('scene__setting', 'dialogue'),
@@ -340,7 +348,10 @@ class TestCombinations(GrailTestData, PostgreSQLTestCase):
         self.assertCountEqual(searched, [self.verse0, self.verse1, self.verse2])
 
     def test_query_combined_mismatch(self):
-        msg = "SearchQuery can only be combined with other SearchQuerys, got"
+        msg = (
+            'SearchQuery can only be combined with other SearchQuery '
+            'instances, got NoneType.'
+        )
         with self.assertRaisesMessage(TypeError, msg):
             Line.objects.filter(dialogue__search=None | SearchQuery('kneecaps'))