Do any mattresses come with a removable cover? December 17, 2018 17:30 Updated The Cirrus models are the only mattresses that come with a removable cover. Related articles Can I purchase Goof Proof for my mattress? Can I wash the cover on my foam mattress? What is your mattress satisfaction guarantee? Do I need to rotate my mattress? My mattress seems to be sagging. What should I do?