Carpet on ceilings.....

Does anyone have any ideas what to do about the carpet on my old Northern Lite camper? I do not like breathing the fibers that are starting to break down causing dust inside. Aside from always vacuuming the headliner each trip I would like to coat it or cover it. Just don't want to ruin it as it's still a nice 03 camper I bought new and upgraded. Thanks in advance.