No, you generally do not need a separate sitemap for the mobile version of your website. Modern SEO best practices recommend using a single responsive design that works well on both desktop and mobile devices, which means your content should be the same regardless of the device.

Google and other search engines typically prefer a unified sitemap that includes all URLs, which automatically adjusts to different devices. This simplifies the indexing process and ensures that all versions of your content are accessible and easily discoverable.

However, if you have a separate mobile site (like an "m.example.com" version), you should still include the URLs in your main sitemap, or you could create a separate sitemap for the mobile version. But in most cases, especially with responsive design, a single sitemap is sufficient.