How to get all blogs of user?

Given is the user id..

How can I display all the blogs where this user is administrator?

I tried,

<?php
$user_id = 2;
$user_blogs = get_blogs_of_user( $user_id );
echo '<ul>';
foreach ($user_blogs AS $user_blog) {
    echo '<li>'.$user_blog->blogname.'</li>';
}
echo '</ul>';
?>

However, it will return all the blogs where user has access to regardless if it is an administrator or just a subscriber. But all i want to display is those blogs where this user is administrator.

Is this possible? If yes, How? Please help.