diff --git a/django/utils/timezone.py b/django/utils/timezone.py
index 6d6cbf6d8ffd..fa31e854cb5d 100644
--- a/django/utils/timezone.py
+++ b/django/utils/timezone.py
@@ -178,9 +178,6 @@ def localtime(value=None, timezone=None):
         value = now()
     if timezone is None:
         timezone = get_current_timezone()
-    # Emulate the behavior of astimezone() on Python < 3.6.
-    if is_naive(value):
-        raise ValueError("localtime() cannot be applied to a naive datetime")
     return value.astimezone(timezone)
 
 
@@ -249,9 +246,6 @@ def make_naive(value, timezone=None):
     """Make an aware datetime.datetime naive in a given time zone."""
     if timezone is None:
         timezone = get_current_timezone()
-    # Emulate the behavior of astimezone() on Python < 3.6.
-    if is_naive(value):
-        raise ValueError("make_naive() cannot be applied to a naive datetime")
     return value.astimezone(timezone).replace(tzinfo=None)
 
 
diff --git a/tests/utils_tests/test_timezone.py b/tests/utils_tests/test_timezone.py
index 01e47aa08a10..5c3c0ed25185 100644
--- a/tests/utils_tests/test_timezone.py
+++ b/tests/utils_tests/test_timezone.py
@@ -22,16 +22,6 @@ def test_now(self):
             self.assertTrue(timezone.is_naive(timezone.now()))
 
     def test_localdate(self):
-        naive = datetime.datetime(2015, 1, 1, 0, 0, 1)
-        with self.assertRaisesMessage(
-            ValueError, "localtime() cannot be applied to a naive datetime"
-        ):
-            timezone.localdate(naive)
-        with self.assertRaisesMessage(
-            ValueError, "localtime() cannot be applied to a naive datetime"
-        ):
-            timezone.localdate(naive, timezone=EAT)
-
         aware = datetime.datetime(2015, 1, 1, 0, 0, 1, tzinfo=ICT)
         self.assertEqual(
             timezone.localdate(aware, timezone=EAT), datetime.date(2014, 12, 31)
@@ -149,11 +139,6 @@ def test_make_naive(self):
             datetime.datetime(2011, 9, 1, 13, 20, 30),
         )
 
-        with self.assertRaisesMessage(
-            ValueError, "make_naive() cannot be applied to a naive datetime"
-        ):
-            timezone.make_naive(datetime.datetime(2011, 9, 1, 13, 20, 30), EAT)
-
     def test_make_naive_no_tz(self):
         self.assertEqual(
             timezone.make_naive(datetime.datetime(2011, 9, 1, 13, 20, 30, tzinfo=EAT)),