diff --git a/wp-includes/shortcodes.php b/wp-includes/shortcodes.php
index 2a9f196304..992e71be65 100644
--- a/wp-includes/shortcodes.php
+++ b/wp-includes/shortcodes.php
@@ -355,6 +355,11 @@ function do_shortcodes_in_html_tags( $content, $ignore_html ) {
 
 		$attributes = wp_kses_attr_parse( $element );
 		if ( false === $attributes ) {
+			// Some plugins are doing things like [name] <[email]>.
+			if ( 1 === preg_match( '%^<\s*\[\[?[^\[\]]+\]%', $element ) ) {
+				$element = preg_replace_callback( "/$pattern/s", 'do_shortcode_tag', $element );
+			}
+
 			// Looks like we found some crazy unfiltered HTML.  Skipping it for sanity.
 			$element = strtr( $element, $trans );
 			continue;