Mine sucks her thumb to sleep. We've tried pacifiers but she spits them out. I prefer her using her thumb rather than a pacifier as I believe it'll affect the development of her teeth. I don't see a need to stop it right now (6m), but I do pop out her finger or replace it with my boob when she's asleep. If she continues when she's grown up, I would talk to her and get her to stop, though I do think a lot of children just stop sucking their thumbs on their own, just like that. Suckling is an instinctive need for infants.
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