what you would be doing is letting everybody know that you wear a system. if you're fine with that there is no problem.
you could one day wear the full cap with long hair, come in the next day completely shaved and then that afternoon have your hair back on, cut short, say after lunch.
i cant see how there would be a problem. it would be like a woman or man getting their hair done during lunch.
but as i said everybody who has seen you would know and most likely would end up "talking to your hair" during conversation because that is probably where their eyes would wander to