diff --git a/composer.json b/composer.json
index 4a0390142..21bf5efae 100644
--- a/composer.json
+++ b/composer.json
@@ -96,7 +96,7 @@
         "drupal/responsive_preview": "^2.1",
         "drupal/redirect": "^1.7",
         "drupal/scheduler": "^2.0.2",
-        "drupal/scheduler_content_moderation_integration": "^2.0",
+        "drupal/scheduler_content_moderation_integration": "^2.0||^3.0",
         "drupal/schema_metatag": "^2.4",
         "drupal/select2": "^1.7",
         "drupal/search_api_mark_outdated": "^1.0",
diff --git a/tests/src/Functional/ModeratedContentSchedulingTest.php b/tests/src/Functional/ModeratedContentSchedulingTest.php
index f1fd2d828..4abdd5251 100644
--- a/tests/src/Functional/ModeratedContentSchedulingTest.php
+++ b/tests/src/Functional/ModeratedContentSchedulingTest.php
@@ -91,6 +91,22 @@ public function testPublishStateSchedule(): void {
     $this->assertEquals('published', $node->moderation_state->value);
     $this->assertEquals('Test workflow article 1 - Draft', $node->getTitle());
 
+    // Test published to published.
+    // See: https://www.drupal.org/project/thunder/issues/3474835
+    $this->drupalGet($edit_url);
+    $this->submitForm([
+      'title[0][value]' => 'Test workflow article 1 - Still Published',
+      'moderation_state[0]' => 'published',
+      'publish_on[0][value][date]' => date('Y-m-d', $publish_timestamp),
+      'publish_on[0][value][time]' => date('H:i:s', $publish_timestamp),
+      'publish_state[0]' => 'published',
+    ], 'Save');
+    $node_storage->resetCache([$node->id()]);
+    /** @var \Drupal\node\Entity\Node $node */
+    $node = $node_storage->loadRevision($node_storage->getLatestRevisionId($node->id()));
+    $this->assertEquals(TRUE, $node->isPublished());
+    $this->assertEquals('published', $node->moderation_state->value);
+
   }
 
   /**