diff --git a/src/wp-includes/widgets/class-wp-widget-media-image.php b/src/wp-includes/widgets/class-wp-widget-media-image.php
index 2b9bff2..ef631b2 100644
--- a/src/wp-includes/widgets/class-wp-widget-media-image.php
+++ b/src/wp-includes/widgets/class-wp-widget-media-image.php
@@ -266,7 +266,7 @@ class WP_Widget_Media_Image extends WP_Widget_Media {
 			$link .= '>';
 			$link .= $image;
 			$link .= '</a>';
-			$image = $link;
+			$image = wp_targeted_link_rel( $link );
 		}
 
 		if ( $caption ) {
diff --git a/tests/phpunit/tests/widgets/media-image-widget.php b/tests/phpunit/tests/widgets/media-image-widget.php
index e138f3e..78d55fc 100644
--- a/tests/phpunit/tests/widgets/media-image-widget.php
+++ b/tests/phpunit/tests/widgets/media-image-widget.php
@@ -509,6 +509,7 @@ class Test_WP_Widget_Media_Image extends WP_UnitTestCase {
 
 		$this->assertContains( '<a href="https://example.org"', $output );
 		$this->assertContains( 'target="_blank"', $output );
+		$this->assertContains( 'rel="noopener noreferrer"', $output );
 
 		// Populate caption in attachment.
 		wp_update_post(