diff -u b/tests/src/Functional/MenuBlockTest.php b/tests/src/Functional/MenuBlockTest.php
--- b/tests/src/Functional/MenuBlockTest.php
+++ b/tests/src/Functional/MenuBlockTest.php
@@ -461,30 +461,32 @@
 
   /**
    * Test menu block label type options.
-   *
-   * @dataProvider testMenuBlockTitltOptionsDataProvider
    */
-  public function testMenuBlockTitleOptions($option, $title, $test_link = NULL) {
+  public function testMenuBlockTitleOptions() {
+    // Create a block, and edit it repeatedly to test the title display options.
     $block_id = 'main';
     $this->drupalPostForm('admin/structure/block/add/menu_block:main', [
       'id' => $block_id,
       'settings[label]' => 'Block title',
       'settings[label_display]' => TRUE,
       'settings[parent]' => 'main:' . $this->links['child-1'],
-      'settings[label_type]' => $option,
       'region' => 'primary_menu',
     ], 'Save block');
-    if (!$test_link) {
-      $test_link = 'menu-block-test/hierarchy/parent/child-1/child-1-1';
+    $options = $this->getTestMenuBlockTitltOptions();
+    foreach ($options as $option) {
+      $this->drupalPostForm('admin/structure/block/manage/main', [
+        'settings[label_type]' => $option['option'],
+      ], 'Save block');
+      $test_link = empty($option['test_link']) ? 'menu-block-test/hierarchy/parent/child-1/child-1-1' : $option['test_link'];
+      $this->drupalGet($test_link);
+      $this->assertSession()->elementTextContains('css', 'h2#block-main-menu', $option['title']);
     }
-    $this->drupalGet($test_link);
-    $this->assertSession()->elementTextContains('css', '#block-main-menu', $title);
   }
 
   /**
    * Provides test data for testMenuBlockTitleOptions().
    */
-  public function testMenuBlockTitltOptionsDataProvider() {
+  protected function getTestMenuBlockTitltOptions() {
     return [
       [
         'option' => MenuBlock::LABEL_BLOCK,
@@ -499,6 +501,11 @@
         'title' => 'child-1 menu item'
       ],
       [
+        'option' => MenuBlock::LABEL_FIXED_PARENT,
+        'title' => 'child-1 menu item',
+        'test_link' => 'menu-block-test/hierarchy/parent'
+      ],
+      [
         'option' => MenuBlock::LABEL_ACTIVE_ITEM,
         'title' => 'child-1-1 menu item',
       ],
@@ -517,13 +524,18 @@
         'test_link' => 'menu-block-test/hierarchy/parent/child-1/child-1-2',
       ],
       [
+        'option' => MenuBlock::LABEL_PARENT,
+        'title' => 'parent menu item',
+        'test_link' => 'menu-block-test/hierarchy/parent',
+      ],
+      [
         'option' => MenuBlock::LABEL_ROOT,
         'title' => 'parent menu item'
       ],
       [
         'option' => MenuBlock::LABEL_ROOT,
         'title' => 'parent menu item',
-        'test_link' => 'menu-block-test/hierarchy/parent/child-1/child-1-1',
+        'test_link' => 'menu-block-test/hierarchy/parent/child-1/child-1-2',
       ],
       [
         'option' => MenuBlock::LABEL_ROOT,