Tylenol for teething?

Is it ok to give my 4 month old Tylenol for teething pain every once and a while? He has days here and there where I can tell his mouth hurts and nothing else seems to give him some relief. Most days chewing on his toys/hands helps so I don’t do it then, but on the bad days. (He is doctor confirmed on the teething so I know that’s what it is.) I guess I’m asking because he always falls asleep afterward, and I don’t usually give him a whole dose, but I can’t help feel like I’m drugging him or something 😩