diff --git a/tests/requests/tests.py b/tests/requests/tests.py
index b00eec87a9..bf97f7dfe2 100644
--- a/tests/requests/tests.py
+++ b/tests/requests/tests.py
@@ -679,7 +679,7 @@ class RequestsTests(SimpleTestCase):
 
 
 @skipIf(connection.vendor == 'sqlite'
-        and connection.settings_dict['NAME'] in ('', ':memory:'),
+        and connection.settings_dict['TEST_NAME'] in (None, '', ':memory:'),
         "Cannot establish two connections to an in-memory SQLite database.")
 class DatabaseConnectionHandlingTests(TransactionTestCase):
 
diff --git a/tests/transactions_regress/tests.py b/tests/transactions_regress/tests.py
index bd9e78b033..01f8fc4186 100644
--- a/tests/transactions_regress/tests.py
+++ b/tests/transactions_regress/tests.py
@@ -191,10 +191,9 @@ class TestTransactionClosing(IgnoreDeprecationWarningsMixin, TransactionTestCase
         """
         self.test_failing_query_transaction_closed()
 
-@skipIf(connection.vendor == 'sqlite' and
-        (connection.settings_dict['NAME'] == ':memory:' or
-         not connection.settings_dict['NAME']),
-        'Test uses multiple connections, but in-memory sqlite does not support this')
+@skipIf(connection.vendor == 'sqlite'
+        and connection.settings_dict['TEST_NAME'] in (None, '', ':memory:'),
+        "Cannot establish two connections to an in-memory SQLite database.")
 class TestNewConnection(IgnoreDeprecationWarningsMixin, TransactionTestCase):
     """
     Check that new connections don't have special behaviour.