diff --git a/django/db/models/base.py b/django/db/models/base.py
index cf3f25319d..76beda4d84 100644
--- a/django/db/models/base.py
+++ b/django/db/models/base.py
@@ -17,7 +17,6 @@ from django.core.exceptions import (
     ValidationError,
 )
 from django.db import (
-    DEFAULT_DB_ALIAS,
     DJANGO_VERSION_PICKLE_KEY,
     DatabaseError,
     connection,
@@ -2370,8 +2369,6 @@ class Model(metaclass=ModelBase):
 
 
 def method_set_order(self, ordered_obj, id_list, using=None):
-    if using is None:
-        using = DEFAULT_DB_ALIAS
     order_wrt = ordered_obj._meta.order_with_respect_to
     filter_args = order_wrt.get_forward_related_filter(self)
     ordered_obj.objects.db_manager(using).filter(**filter_args).bulk_update(
diff --git a/tests/order_with_respect_to/base_tests.py b/tests/order_with_respect_to/base_tests.py
index 0767d5080f..c895074e42 100644
--- a/tests/order_with_respect_to/base_tests.py
+++ b/tests/order_with_respect_to/base_tests.py
@@ -6,6 +6,8 @@ from operator import attrgetter
 
 
 class BaseOrderWithRespectToTests:
+    databases = {"default", "other"}
+
     # Hook to allow subclasses to run these tests with alternate models.
     Answer = None
     Post = None
@@ -108,3 +110,15 @@ class BaseOrderWithRespectToTests:
         a1.delete()
         new_answer = self.Answer.objects.create(text="Black", question=q1)
         self.assertSequenceEqual(q1.answer_set.all(), [a2, a4, new_answer])
+
+    def test_database_routing(self):
+        class WriteToOtherRouter:
+            def db_for_write(self, model, **hints):
+                return "other"
+
+        with self.settings(DATABASE_ROUTERS=[WriteToOtherRouter()]):
+            with self.assertNumQueries(0, using="default"), self.assertNumQueries(
+                1,
+                using="other",
+            ):
+                self.q1.set_answer_order([3, 1, 2, 4])