core/modules/media_library/src/MediaLibraryCkeditorOpener.php        | 5 ++++-
 .../media_library/src/Plugin/CKEditorPlugin/DrupalMediaLibrary.php   | 3 ++-
 2 files changed, 6 insertions(+), 2 deletions(-)

diff --git a/core/modules/media_library/src/MediaLibraryCkeditorOpener.php b/core/modules/media_library/src/MediaLibraryCkeditorOpener.php
index 76940d0542..5dc9aa263a 100644
--- a/core/modules/media_library/src/MediaLibraryCkeditorOpener.php
+++ b/core/modules/media_library/src/MediaLibraryCkeditorOpener.php
@@ -5,6 +5,7 @@
 use Drupal\Core\Ajax\AjaxResponse;
 use Drupal\Core\Session\AccountInterface;
 use Drupal\editor\Ajax\EditorDialogSave;
+use Drupal\filter\Entity\FilterFormat;
 use Drupal\media\Entity\Media;
 
 /**
@@ -18,7 +19,9 @@ class MediaLibraryCKEditorOpener implements MediaLibraryOpenerInterface {
    * {@inheritdoc}
    */
   public function checkAccess(MediaLibraryState $state, AccountInterface $account) {
-    throw new \Exception('Not yet implemented, see https://www.drupal.org/project/drupal/issues/3038254.');
+    $filter_format_id = $state->getOpenerParameters()['filter_format_id'];
+    return FilterFormat::load($filter_format_id)
+      ->access('use', $account, TRUE);
   }
 
   /**
diff --git a/core/modules/media_library/src/Plugin/CKEditorPlugin/DrupalMediaLibrary.php b/core/modules/media_library/src/Plugin/CKEditorPlugin/DrupalMediaLibrary.php
index f7661bf923..94d8dec71c 100644
--- a/core/modules/media_library/src/Plugin/CKEditorPlugin/DrupalMediaLibrary.php
+++ b/core/modules/media_library/src/Plugin/CKEditorPlugin/DrupalMediaLibrary.php
@@ -62,7 +62,8 @@ public function getConfig(Editor $editor) {
       'media_library.opener.ckeditor',
       $media_type_ids,
       in_array('image', $media_type_ids, TRUE) ? 'image' : reset($media_type_ids),
-      1
+      1,
+      ['filter_format_id' => $editor->getFilterFormat()->id()]
     );
 
     return [