diff --git a/dvc/output.py b/dvc/output.py
index 51b306c5d..9bdf8e6af 100644
--- a/dvc/output.py
+++ b/dvc/output.py
@@ -849,8 +849,9 @@ class Output:
         try:
             objects.check(self.odb, obj)
         except FileNotFoundError:
-            remote = self.repo.cloud.get_remote_odb(self.remote)
-            self.repo.cloud.pull([obj.hash_info], odb=remote, **kwargs)
+            if self.remote:
+                kwargs["remote"] = self.remote
+            self.repo.cloud.pull([obj.hash_info], **kwargs)
 
         if self.obj:
             return self.obj
diff --git a/tests/func/test_data_cloud.py b/tests/func/test_data_cloud.py
index 91afcb206..bb2afe871 100644
--- a/tests/func/test_data_cloud.py
+++ b/tests/func/test_data_cloud.py
@@ -653,3 +653,35 @@ def test_output_remote(tmp_dir, dvc, make_remote):
         "6b18131dc289fd37006705affe961ef8.dir",
         "b8a9f715dbb64fd5c56e7783c6820a61",
     }
+
+
+def test_target_remote(tmp_dir, dvc, make_remote):
+    make_remote("default", default=True)
+    make_remote("myremote", default=False)
+
+    tmp_dir.dvc_gen("foo", "foo")
+    tmp_dir.dvc_gen("data", {"one": "one", "two": "two"})
+
+    dvc.push(remote="myremote")
+
+    default = dvc.cloud.get_remote_odb("default")
+    myremote = dvc.cloud.get_remote_odb("myremote")
+
+    assert set(default.all()) == set()
+    assert set(myremote.all()) == {
+        "acbd18db4cc2f85cedef654fccc4a4d8",
+        "f97c5d29941bfb1b2fdab0874906ab82",
+        "6b18131dc289fd37006705affe961ef8.dir",
+        "b8a9f715dbb64fd5c56e7783c6820a61",
+    }
+
+    clean(["foo", "data"], dvc)
+
+    dvc.pull(remote="myremote")
+
+    assert set(dvc.odb.local.all()) == {
+        "acbd18db4cc2f85cedef654fccc4a4d8",
+        "f97c5d29941bfb1b2fdab0874906ab82",
+        "6b18131dc289fd37006705affe961ef8.dir",
+        "b8a9f715dbb64fd5c56e7783c6820a61",
+    }