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
@@ -56,6 +56,20 @@
   /**
    * {@inheritdoc}
    */
+  public static function calculateDependencies(FieldDefinitionInterface $field_definition) {
+    // Add explicitly allowed formats as config dependencies.
+    $dependencies = parent::calculateDependencies($field_definition);
+    $format_dependencies = array_map(function (string $format_id) {
+      return 'filter.format.' . $format_id;
+    }, $field_definition->getSetting('allowed_formats'));
+    $config = $dependencies['config'] ?? [];
+    $dependencies['config'] = array_merge($config, $format_dependencies);
+    return $dependencies;
+  }
+
+  /**
+   * {@inheritdoc}
+   */
   public static function propertyDefinitions(FieldStorageDefinitionInterface $field_definition) {
     $properties['value'] = DataDefinition::create('string')
       ->setLabel(t('Text'))