diff --git a/wagtail/wagtailsearch/tests/elasticsearch_common_tests.py b/wagtail/wagtailsearch/tests/elasticsearch_common_tests.py
index 3cd214392..0a271d493 100644
--- a/wagtail/wagtailsearch/tests/elasticsearch_common_tests.py
+++ b/wagtail/wagtailsearch/tests/elasticsearch_common_tests.py
@@ -8,9 +8,10 @@ from django.core import management
 
 from wagtail.tests.search import models
 from wagtail.wagtailsearch.query import MATCH_ALL
+from wagtail.wagtailsearch.tests.test_backends import BackendTests
 
 
-class ElasticsearchCommonSearchBackendTests(object):
+class ElasticsearchCommonSearchBackendTests(BackendTests):
     def test_search_with_spaces_only(self):
         # Search for some space characters and hope it doesn't crash
         results = self.backend.search("   ", models.Book)
@@ -174,6 +175,21 @@ class ElasticsearchCommonSearchBackendTests(object):
         results = self.backend.search(MATCH_ALL, models.Book)[110:]
         self.assertEqual(len(results), 53)
 
+    # Broken
+    @unittest.expectedFailure
+    def test_filter_in_values_list_subquery(self):
+        super().test_filter_in_values_list_subquery()
+
+    # Broken
+    @unittest.expectedFailure
+    def test_order_by_non_filterable_field(self):
+        super().test_order_by_non_filterable_field()
+
+    # Broken
+    @unittest.expectedFailure
+    def test_delete(self):
+        super().test_delete()
+
     #
     # Basic query classes
     #
diff --git a/wagtail/wagtailsearch/tests/test_elasticsearch2_backend.py b/wagtail/wagtailsearch/tests/test_elasticsearch2_backend.py
index b82d8bb2d..e7a8aa77d 100644
--- a/wagtail/wagtailsearch/tests/test_elasticsearch2_backend.py
+++ b/wagtail/wagtailsearch/tests/test_elasticsearch2_backend.py
@@ -16,27 +16,11 @@ from wagtail.wagtailsearch.backends.elasticsearch2 import (
 from wagtail.wagtailsearch.query import MATCH_ALL
 
 from .elasticsearch_common_tests import ElasticsearchCommonSearchBackendTests
-from .test_backends import BackendTests
 
 
-class TestElasticsearch2SearchBackend(BackendTests, ElasticsearchCommonSearchBackendTests, TestCase):
+class TestElasticsearch2SearchBackend(ElasticsearchCommonSearchBackendTests, TestCase):
     backend_path = 'wagtail.wagtailsearch.backends.elasticsearch2'
 
-    # Broken
-    @unittest.expectedFailure
-    def test_filter_in_values_list_subquery(self):
-        super(TestElasticsearch2SearchBackend, self).test_filter_in_values_list_subquery()
-
-    # Broken
-    @unittest.expectedFailure
-    def test_order_by_non_filterable_field(self):
-        super(TestElasticsearch2SearchBackend, self).test_order_by_non_filterable_field()
-
-    # Broken
-    @unittest.expectedFailure
-    def test_delete(self):
-        super(TestElasticsearch2SearchBackend, self).test_delete()
-
 
 class TestElasticsearch2SearchQuery(TestCase):
     def assertDictEqual(self, a, b):
diff --git a/wagtail/wagtailsearch/tests/test_elasticsearch5_backend.py b/wagtail/wagtailsearch/tests/test_elasticsearch5_backend.py
index 030f73ac4..092721754 100644
--- a/wagtail/wagtailsearch/tests/test_elasticsearch5_backend.py
+++ b/wagtail/wagtailsearch/tests/test_elasticsearch5_backend.py
@@ -15,10 +15,9 @@ from wagtail.wagtailsearch.backends.elasticsearch5 import Elasticsearch5SearchBa
 from wagtail.wagtailsearch.query import MATCH_ALL
 
 from .elasticsearch_common_tests import ElasticsearchCommonSearchBackendTests
-from .test_backends import BackendTests
 
 
-class TestElasticsearch5SearchBackend(BackendTests, ElasticsearchCommonSearchBackendTests, TestCase):
+class TestElasticsearch5SearchBackend(ElasticsearchCommonSearchBackendTests, TestCase):
     backend_path = 'wagtail.wagtailsearch.backends.elasticsearch5'
 
     # Broken
@@ -26,21 +25,6 @@ class TestElasticsearch5SearchBackend(BackendTests, ElasticsearchCommonSearchBac
     def test_filter_isnull_true(self):
         super(TestElasticsearch5SearchBackend, self).test_filter_isnull_true()
 
-    # Broken
-    @unittest.expectedFailure
-    def test_filter_in_values_list_subquery(self):
-        super(TestElasticsearch5SearchBackend, self).test_filter_in_values_list_subquery()
-
-    # Broken
-    @unittest.expectedFailure
-    def test_order_by_non_filterable_field(self):
-        super(TestElasticsearch5SearchBackend, self).test_order_by_non_filterable_field()
-
-    # Broken
-    @unittest.expectedFailure
-    def test_delete(self):
-        super(TestElasticsearch5SearchBackend, self).test_delete()
-
 
 class TestElasticsearch5SearchQuery(TestCase):
     def assertDictEqual(self, a, b):