diff --git a/django/db/models/base.py b/django/db/models/base.py
index 7e4fa9ac68..2884679ba1 100644
--- a/django/db/models/base.py
+++ b/django/db/models/base.py
@@ -1643,7 +1643,7 @@ class Model(metaclass=ModelBase):
         # Convert "-field" to "field".
         fields = ((f[1:] if f.startswith('-') else f) for f in fields)
 
-        # Separate related field and non related fields.
+        # Separate related fields and non-related fields.
         _fields = []
         related_fields = []
         for f in fields:
@@ -1667,7 +1667,7 @@ class Model(metaclass=ModelBase):
                         errors.append(
                             checks.Error(
                                 "'ordering' refers to the nonexistent field, "
-                                "related field or lookup '%s'." % field,
+                                "related field, or lookup '%s'." % field,
                                 obj=cls,
                                 id='models.E015',
                             )
@@ -1693,7 +1693,8 @@ class Model(metaclass=ModelBase):
         for invalid_field in invalid_fields:
             errors.append(
                 checks.Error(
-                    "'ordering' refers to the nonexistent field '%s'." % invalid_field,
+                    "'ordering' refers to the nonexistent field, related "
+                    "field, or lookup '%s'." % invalid_field,
                     obj=cls,
                     id='models.E015',
                 )
diff --git a/docs/ref/checks.txt b/docs/ref/checks.txt
index 0b9fd39eb9..2e00de454b 100644
--- a/docs/ref/checks.txt
+++ b/docs/ref/checks.txt
@@ -277,7 +277,7 @@ Models
   supported for that option.
 * **models.E014**: ``ordering`` must be a tuple or list (even if you want to
   order by only one field).
-* **models.E015**: ``ordering`` refers to the nonexistent field, related field
+* **models.E015**: ``ordering`` refers to the nonexistent field, related field,
   or lookup ``<field name>``.
 * **models.E016**: ``indexes/index_together/unique_together`` refers to field
   ``<field_name>`` which is not local to model ``<model>``.
diff --git a/tests/invalid_models_tests/test_models.py b/tests/invalid_models_tests/test_models.py
index 320e799a6e..6b57dd7d9d 100644
--- a/tests/invalid_models_tests/test_models.py
+++ b/tests/invalid_models_tests/test_models.py
@@ -632,7 +632,8 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Model.check(), [
             Error(
-                "'ordering' refers to the nonexistent field 'relation'.",
+                "'ordering' refers to the nonexistent field, related field, "
+                "or lookup 'relation'.",
                 obj=Model,
                 id='models.E015',
             ),
@@ -645,7 +646,8 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Model.check(), [
             Error(
-                "'ordering' refers to the nonexistent field 'missing_field'.",
+                "'ordering' refers to the nonexistent field, related field, "
+                "or lookup 'missing_field'.",
                 obj=Model,
                 id='models.E015',
             )
@@ -660,7 +662,8 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Model.check(), [
             Error(
-                "'ordering' refers to the nonexistent field 'missing_fk_field_id'.",
+                "'ordering' refers to the nonexistent field, related field, "
+                "or lookup 'missing_fk_field_id'.",
                 obj=Model,
                 id='models.E015',
             )
@@ -675,7 +678,7 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Model.check(), [
             Error(
-                "'ordering' refers to the nonexistent field, related field "
+                "'ordering' refers to the nonexistent field, related field, "
                 "or lookup 'missing_related__id'.",
                 obj=Model,
                 id='models.E015',
@@ -694,7 +697,7 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Child.check(), [
             Error(
-                "'ordering' refers to the nonexistent field, related field "
+                "'ordering' refers to the nonexistent field, related field, "
                 "or lookup 'parent__missing_field'.",
                 obj=Child,
                 id='models.E015',
@@ -710,7 +713,7 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Child.check(), [
             Error(
-                "'ordering' refers to the nonexistent field, related field "
+                "'ordering' refers to the nonexistent field, related field, "
                 "or lookup 'parent__missing_field'.",
                 obj=Child,
                 id='models.E015',
@@ -732,7 +735,7 @@ class OtherModelTests(SimpleTestCase):
 
         self.assertEqual(Child.check(), [
             Error(
-                "'ordering' refers to the nonexistent field, related field "
+                "'ordering' refers to the nonexistent field, related field, "
                 "or lookup 'parent1__parent2__missing_field'.",
                 obj=Child,
                 id='models.E015',
diff --git a/tests/postgres_tests/test_json.py b/tests/postgres_tests/test_json.py
index e95939be16..ca164a81ba 100644
--- a/tests/postgres_tests/test_json.py
+++ b/tests/postgres_tests/test_json.py
@@ -19,7 +19,7 @@ except ImportError:
     pass
 
 
-class TestModelMetaOrdering(PostgreSQLTestCase):
+class TestModelMetaOrdering(PostgreSQLSimpleTestCase):
     def test_ordering_by_json_field_value(self):
         class TestJSONModel(JSONModel):
             class Meta: