diff --git a/tests/phpunit/tests/http/wpGetHttpHeaders.php b/tests/phpunit/tests/http/wpGetHttpHeaders.php
index aa5be431d8..855497674b 100644
--- a/tests/phpunit/tests/http/wpGetHttpHeaders.php
+++ b/tests/phpunit/tests/http/wpGetHttpHeaders.php
@@ -26,6 +26,8 @@ class Tests_HTTP_wpGetHttpHeaders extends WP_UnitTestCase {
 
 	/**
 	 * Test with an invalid URL
+	 *
+	 * @group external-http
 	 */
 	public function test_wp_get_http_headers_invalid_url() {
 		$result = wp_get_http_headers( 'not_an_url' );
@@ -34,6 +36,8 @@ class Tests_HTTP_wpGetHttpHeaders extends WP_UnitTestCase {
 
 	/**
 	 * Test to see if the deprecated argument is working
+	 *
+	 * @group external-http
 	 */
 	public function test_wp_get_http_headers_deprecated_argument() {
 		$this->setExpectedDeprecated( 'wp_get_http_headers' );
diff --git a/tests/phpunit/tests/multisite/updateBlogStatus.php b/tests/phpunit/tests/multisite/updateBlogStatus.php
index 092a76e8cb..02854ca219 100644
--- a/tests/phpunit/tests/multisite/updateBlogStatus.php
+++ b/tests/phpunit/tests/multisite/updateBlogStatus.php
@@ -45,6 +45,9 @@ if ( is_multisite() ) :
 			$this->assertSame( 1, $test_action_counter->get_call_count() );
 		}
 
+		/**
+		 * @group external-http
+		 */
 		public function test_content_from_spam_blog_is_not_available() {
 			$spam_blog_id = self::factory()->blog->create();
 			switch_to_blog( $spam_blog_id );
diff --git a/tests/phpunit/tests/rest-api/rest-site-health-controller.php b/tests/phpunit/tests/rest-api/rest-site-health-controller.php
index b4929914a6..9d67401d57 100644
--- a/tests/phpunit/tests/rest-api/rest-site-health-controller.php
+++ b/tests/phpunit/tests/rest-api/rest-site-health-controller.php
@@ -92,6 +92,9 @@ class WP_Test_REST_Site_Health_Controller extends WP_Test_REST_TestCase {
 		$this->assertErrorResponse( 'rest_forbidden', $response, 403 );
 	}
 
+	/**
+	 * @group external-http
+	 */
 	public function test() {
 		wp_set_current_user( self::$admin );
 		$response = rest_do_request( '/wp-site-health/v1/tests/dotorg-communication' );
diff --git a/tests/phpunit/tests/rest-api/wpRestBlockPatternsController.php b/tests/phpunit/tests/rest-api/wpRestBlockPatternsController.php
index 2dc3bb83a3..017a755a36 100644
--- a/tests/phpunit/tests/rest-api/wpRestBlockPatternsController.php
+++ b/tests/phpunit/tests/rest-api/wpRestBlockPatternsController.php
@@ -123,6 +123,9 @@ class Tests_REST_WpRestBlockPatternsController extends WP_Test_REST_Controller_T
 		$this->assertArrayHasKey( static::REQUEST_ROUTE, $routes );
 	}
 
+	/**
+	 * @group external-http
+	 */
 	public function test_get_items() {
 		wp_set_current_user( self::$admin_id );
 
@@ -189,6 +192,7 @@ class Tests_REST_WpRestBlockPatternsController extends WP_Test_REST_Controller_T
 	 * @since 6.2.0
 	 *
 	 * @ticket 57532
+	 * @group external-http
 	 *
 	 * @covers WP_REST_Block_Patterns_Controller::get_items
 	 */