diff --git a/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigMultilingualTest.php b/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigMultilingualTest.php
index db05d32031e6c7f3109184217f26e489f472473b..a91fa59428c2a18514e3a4293c5d185784497d16 100644
--- a/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigMultilingualTest.php
+++ b/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigMultilingualTest.php
@@ -14,6 +14,17 @@ class InstallerExistingConfigMultilingualTest extends InstallerExistingConfigTes
    */
   protected $profile = 'testing_config_install_multilingual';
 
+  /**
+   * {@inheritdoc}
+   *
+   * @todo Remove this and thus re-enable this test in
+   *   https://www.drupal.org/project/drupal/issues/3361121
+   */
+  protected function setUp(): void {
+    $this->markTestSkipped('Skipped due to frequent random test failures.');
+    parent::setUp();
+  }
+
   /**
    * {@inheritdoc}
    */
diff --git a/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigSyncDirectoryMultilingualTest.php b/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigSyncDirectoryMultilingualTest.php
index c95a201c6a0ecd310c80300d01958a10df1cb7b9..90bd8b66221b4fe76e4c5f7c33c6d72fc906aea6 100644
--- a/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigSyncDirectoryMultilingualTest.php
+++ b/core/tests/Drupal/FunctionalTests/Installer/InstallerExistingConfigSyncDirectoryMultilingualTest.php
@@ -28,6 +28,17 @@ class InstallerExistingConfigSyncDirectoryMultilingualTest extends InstallerExis
    */
   protected $existingSyncDirectory = TRUE;
 
+  /**
+   * {@inheritdoc}
+   *
+   * @todo Remove this and thus re-enable this test in
+   *   https://www.drupal.org/project/drupal/issues/3361121
+   */
+  protected function setUp(): void {
+    $this->markTestSkipped('Skipped due to frequent random test failures.');
+    parent::setUp();
+  }
+
   /**
    * Installer step: Select installation profile.
    */