What to put on babies hands?

Robin

My baby is 3 months and loves sucking on his hands to the point they’re becoming raw. He isn’t hungry because he does this throughout the day- even if he just ate. Is there anything I can put on his hands to help? I’ve tried munch mitts but they’re too big. I don’t want to put lotion or anything on his hands because he will just ingest it. Any other things to try?

He won’t take a paci either lol just loves his hands!