diff --git a/rest_framework/permissions.py b/rest_framework/permissions.py
index 3a8c58064..a906fd089 100644
--- a/rest_framework/permissions.py
+++ b/rest_framework/permissions.py
@@ -78,8 +78,9 @@ class OR:
 
     def has_object_permission(self, request, view, obj):
         return (
-            self.op1.has_object_permission(request, view, obj) or
-            self.op2.has_object_permission(request, view, obj)
+            (self.op1.has_permission(request, view) and self.op1.has_object_permission(request, view, obj))
+            or
+            (self.op2.has_permission(request, view) and self.op2.has_object_permission(request, view, obj))
         )
 
 
diff --git a/tests/test_permissions.py b/tests/test_permissions.py
index a016089d7..19aba56a3 100644
--- a/tests/test_permissions.py
+++ b/tests/test_permissions.py
@@ -615,7 +615,6 @@ class PermissionsCompositionTests(TestCase):
         )
         assert composed_perm().has_object_permission(request, None, None) is False
 
-    @pytest.mark.skipif(not PY36, reason="assert_called_once() not available")
     def test_or_lazyness(self):
         request = factory.get('/1', format='json')
         request.user = AnonymousUser()