Does it have sense to include sitemap url into sitemap?

It is pointing to itself and in SEO perspective it's no use becaouse if crawler is on our sitemap he already knows it, no need to inform it, right?

<?xml version="1.0" encoding="UTF-8" ?>
<urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9">

    <url>
        <loc>http://example.com/sitemap.xml</loc>
        <lastmod>2014-03-22</lastmod>
    </url>
</urlset>

Does it have sense to include sitemap URL into sitemap?

It is pointing to itself and in SEO perspective it's no use because if crawler is on our sitemap he already knows it, no need to inform it, right?

<?xml version="1.0" encoding="UTF-8" ?>
<urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9">

    <url>
        <loc>http://example.com/sitemap.xml</loc>
        <lastmod>2014-03-22</lastmod>
    </url>
</urlset>