diff --git a/src/wp-includes/shortcodes.php b/src/wp-includes/shortcodes.php
index 4c9355f6b6..d16227ea3c 100644
--- a/src/wp-includes/shortcodes.php
+++ b/src/wp-includes/shortcodes.php
@@ -359,6 +359,11 @@ 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;
diff --git a/tests/phpunit/tests/shortcode.php b/tests/phpunit/tests/shortcode.php
index 0f251d4933..44abc2754f 100644
--- a/tests/phpunit/tests/shortcode.php
+++ b/tests/phpunit/tests/shortcode.php
@@ -434,6 +434,14 @@ EOF;
 				'<div [[gallery]]>',
 				'<div [gallery]>',
 			),
+			array(
+				'<[[gallery]]>',
+				'<[gallery]>',
+			),
+			array(
+				'<div style="background:url([[gallery]])">',
+				'<div style="background:url([[gallery]])">',
+			),
 			array(
 				'[gallery]<div>Hello</div>[/gallery]',
 				'',
@@ -472,6 +480,10 @@ EOF;
 				'<div [[gallery]]>', // Shortcodes will never be stripped inside elements.
 				'<div [[gallery]]>',
 			),
+			array(
+				'<[[gallery]]>',
+				'<[[gallery]]>',
+			),
 			array(
 				'[gallery]<div>Hello</div>[/gallery]',
 				'',