diff --git a/README.md b/README.md
index a983e79..c6117ce 100644
--- a/README.md
+++ b/README.md
@@ -29,8 +29,7 @@ It performs the following:
   ```
 
   If this setting is not defined, then the destination filter plugin ID defaults
-  to `entity_embed` for BC reasons. This also happens when you're on Drupal core
-  8.7.x, becasue the `media_embed` filter plugin was introduced in 8.8.x.
+  to `entity_embed` for BC reasons.
 
 * By default (for BC reasons), after the embedded media token transform, the
   entities are referenced by their ID. This can be changed to UUID by adding the
diff --git a/media_migration.info.yml b/media_migration.info.yml
index 0714ef2..8a9e2a5 100644
--- a/media_migration.info.yml
+++ b/media_migration.info.yml
@@ -2,8 +2,7 @@ name: Media Migration
 type: module
 description: This module provides a Drupal 7 to 8 migration path for the Media module.
 package: Migrate
-core: 8.x
-core_version_requirement: ^8 || ^9
+core_version_requirement: ^8.8 || ^9
 dependencies:
   - drupal:media
   - drupal:migrate_drupal
diff --git a/src/MediaMigration.php b/src/MediaMigration.php
index 7d615d4..1f568d4 100644
--- a/src/MediaMigration.php
+++ b/src/MediaMigration.php
@@ -143,7 +143,7 @@ final class MediaMigration {
   public static function getEmbedMediaReferenceMethod() {
     $value_from_settings = Settings::get(self::MEDIA_REFERENCE_METHOD_SETTINGS, self::EMBED_MEDIA_REFERENCE_METHOD_DEFAULT);
 
-    if (version_compare(\Drupal::VERSION, '8.7', '>') && self::getEmbedTokenDestinationFilterPlugin() === self::MEDIA_TOKEN_DESTINATION_FILTER_MEDIA_EMBED) {
+    if (self::getEmbedTokenDestinationFilterPlugin() === self::MEDIA_TOKEN_DESTINATION_FILTER_MEDIA_EMBED) {
       return self::EMBED_MEDIA_REFERENCE_METHOD_UUID;
     }
 
@@ -160,12 +160,7 @@ final class MediaMigration {
    *   settings.php.
    */
   public static function getEmbedTokenDestinationFilterPlugin() {
-    // The media embed filter exists only from Drupal 8.8+.
-    if (version_compare(\Drupal::VERSION, '8.7', '>')) {
-      return Settings::get(self::MEDIA_TOKEN_DESTINATION_FILTER_SETTINGS, self::MEDIA_TOKEN_DESTINATION_FILTER_DEFAULT);
-    }
-
-    return self::MEDIA_TOKEN_DESTINATION_FILTER_DEFAULT;
+    return Settings::get(self::MEDIA_TOKEN_DESTINATION_FILTER_SETTINGS, self::MEDIA_TOKEN_DESTINATION_FILTER_DEFAULT);
   }
 
   /**
diff --git a/src/Plugin/migrate/source/d7/MediaViewMode.php b/src/Plugin/migrate/source/d7/MediaViewMode.php
index f62caa9..8f6ce7f 100644
--- a/src/Plugin/migrate/source/d7/MediaViewMode.php
+++ b/src/Plugin/migrate/source/d7/MediaViewMode.php
@@ -99,11 +99,7 @@ class MediaViewMode extends DrupalSqlBase {
    *   The label of the view mode, or NULL if the view mode does not exist.
    */
   protected function getMediaViewModeLabel(string $view_mode_id) {
-    // @todo Remove checking of $this->entityManager and
-    //   $this->entityTypeManager and leave only $this->entityManager when
-    //   Drupal core 8.7.x security support ends.
-    $manager = $this->entityTypeManager ?? $this->entityManager;
-    $view_mode_storage = $manager->getStorage('entity_view_mode');
+    $view_mode_storage = $this->entityTypeManager->getStorage('entity_view_mode');
     $view_mode = $view_mode_storage->load("media.$view_mode_id");
     return $view_mode ? $view_mode->label() : NULL;
   }
diff --git a/tests/src/Functional/MigrateMediaTestBase.php b/tests/src/Functional/MigrateMediaTestBase.php
index 3105b39..f071aa5 100644
--- a/tests/src/Functional/MigrateMediaTestBase.php
+++ b/tests/src/Functional/MigrateMediaTestBase.php
@@ -261,21 +261,6 @@ abstract class MigrateMediaTestBase extends MigrateUpgradeTestBase {
       unset($expected_entities['filter_format']['filtered_html']);
     }
 
-    // Drupal core 8.7 has 'file' media bundle, while Drupal core 8.8+ has
-    // 'document'.
-    if (version_compare(\Drupal::VERSION, '8.8', '<')) {
-      unset($expected_entities['media_type']['document']);
-      unset($expected_entities['entity_form_display']['media.document.default']);
-      unset($expected_entities['entity_view_display']['media.document.default']);
-      unset($expected_entities['field_config']['media.document.field_media_document']);
-      unset($expected_entities['field_storage_config']['media.field_media_document']);
-      $expected_entities['media_type']['file'] = 'File';
-      $expected_entities['entity_form_display']['media.file.default'] = NULL;
-      $expected_entities['entity_view_display']['media.file.default'] = NULL;
-      $expected_entities['field_config']['media.file.field_media_file'] = 'File';
-      $expected_entities['field_storage_config']['media.field_media_file'] = 'media.field_media_file';
-    }
-
     // Drupal 9.1.x ships a new default image style "wide".
     if (version_compare(\Drupal::VERSION, '9.1', '>=')) {
       $expected_entities['image_style']['wide'] = 'Wide (1090)';