I want the links in my HTML sitemap to be crawled but I do not want the sitemap in the SERPs

I have both XML and HTML Sitemap files. The HTML sitemap is appearing in SERPs and besides wanting search engines to crawl it and follow the links I do not want it to be in the SERPs.

Is it effective to implement
<meta name="robots" content="noindex" /> on HTML Sitemap Page? If I Include this, the URLs specified in that page will be able to crawl by Google or not?

Would love to hear your thoughts and feedback!

Thanks.