diff --git a/tests/phpunit/tests/block-template-utils.php b/tests/phpunit/tests/block-template-utils.php
index cb41692ab5..666edd020a 100644
--- a/tests/phpunit/tests/block-template-utils.php
+++ b/tests/phpunit/tests/block-template-utils.php
@@ -348,6 +348,7 @@ class Tests_Block_Template_Utils extends WP_UnitTestCase {
 	 * Should generate block templates export file.
 	 *
 	 * @ticket 54448
+	 * @requires extension zip
 	 */
 	function test_wp_generate_block_templates_export_file() {
 		$filename = wp_generate_block_templates_export_file();
diff --git a/tests/phpunit/tests/privacy/wpPrivacyGeneratePersonalDataExportFile.php b/tests/phpunit/tests/privacy/wpPrivacyGeneratePersonalDataExportFile.php
index a322778941..3f247ea590 100644
--- a/tests/phpunit/tests/privacy/wpPrivacyGeneratePersonalDataExportFile.php
+++ b/tests/phpunit/tests/privacy/wpPrivacyGeneratePersonalDataExportFile.php
@@ -12,6 +12,7 @@
  *
  * @group privacy
  * @covers ::wp_privacy_generate_personal_data_export_file
+ * @requires extension zip
  *
  * @since 5.2.0
  */
@@ -68,10 +69,6 @@ class Tests_Privacy_wpPrivacyGeneratePersonalDataExportFile extends WP_UnitTestC
 
 		$this->export_file_name = '';
 
-		if ( ! class_exists( 'ZipArchive' ) ) {
-			$this->markTestSkipped( 'The ZipArchive class is missing.' );
-		}
-
 		if ( ! $this->remove_exports_dir() ) {
 			$this->markTestSkipped( 'Existing exports directory could not be removed. Skipping test.' );
 		}