diff --git a/tests/phpunit/tests/rest-api/wpRestTemplateAutosavesController.php b/tests/phpunit/tests/rest-api/wpRestTemplateAutosavesController.php
index 575a5980b31db..d5e9213517317 100644
--- a/tests/phpunit/tests/rest-api/wpRestTemplateAutosavesController.php
+++ b/tests/phpunit/tests/rest-api/wpRestTemplateAutosavesController.php
@@ -34,6 +34,11 @@ class Tests_REST_wpRestTemplateAutosavesController extends WP_Test_REST_Controll
 	 */
 	const TEMPLATE_PART_POST_TYPE = 'wp_template_part';
 
+	/**
+	 * @var string
+	 */
+	const PARENT_POST_TYPE = 'wp_template';
+
 	/**
 	 * Admin user ID.
 	 *
diff --git a/tests/phpunit/tests/rest-api/wpRestTemplateRevisionsController.php b/tests/phpunit/tests/rest-api/wpRestTemplateRevisionsController.php
index a8800285f5be7..700d31360cc2e 100644
--- a/tests/phpunit/tests/rest-api/wpRestTemplateRevisionsController.php
+++ b/tests/phpunit/tests/rest-api/wpRestTemplateRevisionsController.php
@@ -715,17 +715,33 @@ public function test_get_item_invalid_parent_id( $parent_post_property_name, $ac
 	 */
 	public function data_get_item_invalid_parent_id() {
 		return array(
-			'templates'      => array(
+			'templates, GET request'       => array(
 				'template_post',
 				'template_post_2',
 				'templates',
 				self::TEST_THEME . '//' . self::TEMPLATE_NAME_2,
+				'GET',
 			),
-			'template parts' => array(
+			'templates, HEAD request'      => array(
+				'template_post',
+				'template_post_2',
+				'templates',
+				self::TEST_THEME . '//' . self::TEMPLATE_NAME_2,
+				'HEAD',
+			),
+			'template parts, GET request'  => array(
+				'template_part_post',
+				'template_part_post_2',
+				'template-parts',
+				self::TEST_THEME . '//' . self::TEMPLATE_PART_NAME_2,
+				'GET',
+			),
+			'template parts, HEAD request' => array(
 				'template_part_post',
 				'template_part_post_2',
 				'template-parts',
 				self::TEST_THEME . '//' . self::TEMPLATE_PART_NAME_2,
+				'HEAD',
 			),
 		);
 	}