Your Baby Falls Asleep While Eating: Is It Healthy?
It is quite normal and usually healthy for babies to fall asleep while being breastfed. In fact, it is a regular part of development for babies to fall asleep while nursing for the first year or so. Some babies will continue to do this longer, if given the chance.
If you and your baby are able to maintain this routine, then there's typically no reason to stop. Besides allowing for bonding time, nursing provides the baby with vital nutrients and hormones that will help them sleep.