diff --git a/src/wp-admin/includes/theme.php b/src/wp-admin/includes/theme.php
index b5fc98042d..fdd5d80d82 100644
--- a/src/wp-admin/includes/theme.php
+++ b/src/wp-admin/includes/theme.php
@@ -572,6 +572,7 @@ function wp_prepare_themes_for_js( $themes = null ) {
 			'parent'       => $parent,
 			'active'       => $slug === $current_theme,
 			'hasUpdate'    => isset( $updates[ $slug ] ),
+			'hasPackage'   => isset( $updates[ $slug ] ) && ! empty( $updates[ $slug ][ 'package' ] ),
 			'update'       => get_theme_update_available( $theme ),
 			'actions'      => array(
 				'activate' => current_user_can( 'switch_themes' ) ? wp_nonce_url( admin_url( 'themes.php?action=activate&stylesheet=' . $encoded_slug ), 'switch-theme_' . $slug ) : null,
diff --git a/src/wp-admin/themes.php b/src/wp-admin/themes.php
index fa1b25af5a..3be8fba9af 100644
--- a/src/wp-admin/themes.php
+++ b/src/wp-admin/themes.php
@@ -378,7 +378,11 @@ $can_install = current_user_can( 'install_themes' );
 	<# } #>
 
 	<# if ( data.hasUpdate ) { #>
-		<div class="update-message notice inline notice-warning notice-alt"><p><?php _e( 'New version available. <button class="button-link" type="button">Update now</button>' ); ?></p></div>
+		<# if ( data.hasPackage ) { #>
+			<div class="update-message notice inline notice-warning notice-alt"><p><?php _e( 'New version available. <button class="button-link" type="button">Update now</button>' ); ?></p></div>
+		<# } else { #>
+			<div class="update-message notice inline notice-warning notice-alt"><p><?php _e( 'New version available.' ); ?></p></div>
+		<# } #>
 	<# } #>
 
 	<span class="more-details" id="{{ data.id }}-action"><?php _e( 'Theme Details' ); ?></span>