No, an ottoman bed can use the same type of mattress as a normal bed frame. All you need to ensure is that the mattress is heavy enough to provide the necessary weight to make opening and closing the frame easy and not too high to make opening the frame a problem. Thankfully, most mattresses available will work perfectly well with your ottoman bed if you buy the right size!
Find out more about the types of mattresses available with our useful mattress buying guide.