Custom post types – Use post_id in permalink structure

I’m registering my CPT like so:

$args = array(
    'labels' => $labels,
    'public' => true,
    'hierarchical' => false,
    'rewrite' => array(
        'with_front' => false,
        'slug' => 'news/events'
    ),
    'supports' => array( 'title', 'editor', 'thumbnail' )
);
register_post_type('events',$args);

Now that will generate post permalinks like so: /news/events/{post_name}/ but I want the following permalink structure: /news/events/{post_id}/{post_name}/.

How do I do this?

@Bainternet – your answer didn’t fully work but I did some more searching and was able to piece this filter together that did work:

add_filter('post_type_link', 'custom_event_permalink', 1, 3);
function custom_event_permalink($post_link, $id = 0, $leavename) {
    if ( strpos('%event_id%', $post_link) === 'FALSE' ) {
        return $post_link;
    }
    $post = &get_post($id);
    if ( is_wp_error($post) || $post->post_type != 'events' ) {
        return $post_link;
    }
    return str_replace('%event_id%', $post->ID, $post_link);
}

+1 for getting me most of the way