diff -u b/core/modules/block_content/block_content.module b/core/modules/block_content/block_content.module
--- b/core/modules/block_content/block_content.module
+++ b/core/modules/block_content/block_content.module
@@ -87,17 +87,17 @@
       'field_storage' => FieldStorageConfig::loadByName('block_content', 'body'),
       'bundle' => $block_type_id,
       'label' => $label,
-      'settings' => [
-        'display_summary' => FALSE,
-        'allowed_formats' => [],
-      ],
+      'settings' => ['display_summary' => FALSE],
     ]);
     $field->save();
 
       'field_storage' => FieldStorageConfig::loadByName('block_content', 'body'),
       'bundle' => $block_type_id,
       'label' => $label,
-      'settings' => ['display_summary' => FALSE],
+      'settings' => [
+        'display_summary' => FALSE,
+        'allowed_formats' => [],
+      ],
     ]);
     $field->save();
 
diff -u b/core/modules/ckeditor/tests/src/FunctionalJavascript/CKEditorIntegrationTest.php b/core/modules/ckeditor/tests/src/FunctionalJavascript/CKEditorIntegrationTest.php
--- b/core/modules/ckeditor/tests/src/FunctionalJavascript/CKEditorIntegrationTest.php
+++ b/core/modules/ckeditor/tests/src/FunctionalJavascript/CKEditorIntegrationTest.php
@@ -73,10 +73,7 @@
       'field_storage' => $field_storage,
       'bundle' => 'page',
       'label' => 'Body',
-      'settings' => [
-        'display_summary' => TRUE,
-        'allowed_formats' => [],
-      ],
+      'settings' => ['display_summary' => TRUE],
       'required' => TRUE,
     ])->save();
 
@@ -84,7 +81,10 @@
       'field_storage' => $field_storage,
       'bundle' => 'page',
       'label' => 'Body',
-      'settings' => ['display_summary' => TRUE],
+      'settings' => [
+        'display_summary' => TRUE,
+        'allowed_formats' => [],
+      ],
       'required' => TRUE,
     ])->save();
 
diff -u b/core/modules/text/src/Plugin/Field/FieldType/TextItemBase.php b/core/modules/text/src/Plugin/Field/FieldType/TextItemBase.php
--- b/core/modules/text/src/Plugin/Field/FieldType/TextItemBase.php
+++ b/core/modules/text/src/Plugin/Field/FieldType/TextItemBase.php
@@ -81,7 +81,8 @@
       ->setRequired(TRUE);
 
     $properties['format'] = DataDefinition::create('filter_format')
-      ->setLabel(t('Text format'));
+      ->setLabel(t('Text format'))
+      ->setSetting('allowed_formats', $field_definition->getSetting('allowed_formats'));
 
     $properties['processed'] = DataDefinition::create('string')
       ->setLabel(t('Processed text'))
@@ -153,22 +154,2 @@
 
-  /**
-   * {@inheritdoc}
-   */
-  public function getConstraints() {
-    $constraint_manager = \Drupal::typedDataManager()->getValidationConstraintManager();
-    $constraints = parent::getConstraints();
-
-    if ($formats = $this->getSetting('allowed_formats')) {
-      $constraints[] = $constraint_manager->create('ComplexData', [
-        'format' => [
-          'AllowedValues' => [
-            'choices' => $formats,
-          ],
-        ],
-      ]);
-    }
-
-    return $constraints;
-  }
-
 }
diff -u b/core/modules/text/tests/src/Functional/TextFieldTest.php b/core/modules/text/tests/src/Functional/TextFieldTest.php
--- b/core/modules/text/tests/src/Functional/TextFieldTest.php
+++ b/core/modules/text/tests/src/Functional/TextFieldTest.php
@@ -177,14 +177,14 @@
       'format' => mb_strtolower($this->randomMachineName()),
       'name' => $this->randomMachineName(),
     ]);
-    $format1_id = $format1->id();
+    $format1->save();
 
     // Create a second text format.
     $format2 = FilterFormat::create([
       'format' => mb_strtolower($this->randomMachineName()),
       'name' => $this->randomMachineName(),
     ]);
-    $format1_id = $format1->id();
+    $format2->save();
 
     // Grant access to both formats to the user.
     $roles = $this->webUser->getRoles();
@@ -232,7 +232,7 @@
     // Change field to allow only one format.
     $path = "entity_test/structure/entity_test/fields/entity_test.entity_test.$field_name";
     $this->drupalGet($path);
-    $this->submitForm(["settings[allowed_formats][$format1_id]" => $format1_id], 'Save settings');
+    $this->submitForm(["settings[allowed_formats][{$format1->id()}]" => $format1->id()], 'Save settings');
     $this->drupalGet($path);
     // Display the creation form.
     $this->drupalLogin($this->webUser);
diff -u b/core/modules/text/text.install b/core/modules/text/text.install
--- b/core/modules/text/text.install
+++ b/core/modules/text/text.install
@@ -12,7 +12,7 @@
 /**
  * Add allowed_formats setting to existing text fields.
  */
-function text_update_9201(&$sandbox) {
+function text_update_10101(&$sandbox) {
   \Drupal::classResolver(ConfigEntityUpdater::class)
     ->update($sandbox, 'field_config', function (FieldConfigInterface $field_config) {
       $class = get_class($field_config);