diff --git a/tests/timezones/models.py b/tests/timezones/models.py
index f7747d5937..a6e276f2f4 100644
--- a/tests/timezones/models.py
+++ b/tests/timezones/models.py
@@ -25,3 +25,7 @@ class Timestamp(models.Model):
 
 class AllDayEvent(models.Model):
     day = models.DateField()
+
+
+class DailyEvent(models.Model):
+    time = models.TimeField()
diff --git a/tests/timezones/tests.py b/tests/timezones/tests.py
index 861636ddf1..58c69bf769 100644
--- a/tests/timezones/tests.py
+++ b/tests/timezones/tests.py
@@ -37,7 +37,8 @@ from .forms import (
     EventSplitForm,
 )
 from .models import (
-    AllDayEvent, Event, MaybeEvent, Session, SessionEvent, Timestamp,
+    AllDayEvent, DailyEvent, Event, MaybeEvent, Session, SessionEvent,
+    Timestamp,
 )
 
 try:
@@ -270,6 +271,13 @@ class LegacyDatabaseTests(TestCase):
 class NewDatabaseTests(TestCase):
     naive_warning = 'DateTimeField Event.dt received a naive datetime'
 
+    @skipIfDBFeature('supports_timezones')
+    def test_aware_time_unsupported(self):
+        t = datetime.time(13, 20, 30, tzinfo=EAT)
+        msg = 'backend does not support timezone-aware times.'
+        with self.assertRaisesMessage(ValueError, msg):
+            DailyEvent.objects.create(time=t)
+
     @requires_tz_support
     def test_naive_datetime(self):
         dt = datetime.datetime(2011, 9, 1, 13, 20, 30)