diff --git a/wp-includes/rest-api/endpoints/class-wp-rest-templates-controller.php b/wp-includes/rest-api/endpoints/class-wp-rest-templates-controller.php
index 1c2a7697c4..949e485fc6 100644
--- a/wp-includes/rest-api/endpoints/class-wp-rest-templates-controller.php
+++ b/wp-includes/rest-api/endpoints/class-wp-rest-templates-controller.php
@@ -236,12 +236,28 @@ class WP_REST_Templates_Controller extends WP_REST_Controller {
 	 * Checks if a given request has access to read templates.
 	 *
 	 * @since 5.8.0
+	 * @since 6.6.0 Allow users with edit_posts capability to read templates.
 	 *
 	 * @param WP_REST_Request $request Full details about the request.
 	 * @return true|WP_Error True if the request has read access, WP_Error object otherwise.
 	 */
 	public function get_items_permissions_check( $request ) {
-		return $this->permissions_check( $request );
+		if ( current_user_can( 'edit_posts' ) ) {
+			return true;
+		}
+		foreach ( get_post_types( array( 'show_in_rest' => true ), 'objects' ) as $post_type ) {
+			if ( current_user_can( $post_type->cap->edit_posts ) ) {
+				return true;
+			}
+		}
+
+		return new WP_Error(
+			'rest_cannot_manage_templates',
+			__( 'Sorry, you are not allowed to access the templates on this site.', 'default' ),
+			array(
+				'status' => rest_authorization_required_code(),
+			)
+		);
 	}
 
 	/**
@@ -277,12 +293,28 @@ class WP_REST_Templates_Controller extends WP_REST_Controller {
 	 * Checks if a given request has access to read a single template.
 	 *
 	 * @since 5.8.0
+	 * @since 6.6.0 Allow users with edit_posts capability to read individual templates.
 	 *
 	 * @param WP_REST_Request $request Full details about the request.
 	 * @return true|WP_Error True if the request has read access for the item, WP_Error object otherwise.
 	 */
 	public function get_item_permissions_check( $request ) {
-		return $this->permissions_check( $request );
+		if ( current_user_can( 'edit_posts' ) ) {
+			return true;
+		}
+		foreach ( get_post_types( array( 'show_in_rest' => true ), 'objects' ) as $post_type ) {
+			if ( current_user_can( $post_type->cap->edit_posts ) ) {
+				return true;
+			}
+		}
+
+		return new WP_Error(
+			'rest_cannot_manage_templates',
+			__( 'Sorry, you are not allowed to access the templates on this site.', 'default' ),
+			array(
+				'status' => rest_authorization_required_code(),
+			)
+		);
 	}
 
 	/**
diff --git a/wp-includes/version.php b/wp-includes/version.php
index 500da9f882..72a58b4f40 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -16,7 +16,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '6.6-alpha-58226';
+$wp_version = '6.6-alpha-58227';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.