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Having an oversupply of breast milk isn't a good thing if your breasts become too full and painful. An oversupply of milk can also lead to an overactive let-down reflex.
With an overactive let-down, your baby might have a hard time latching, pull off the breast, or choke or gag while nursing. Sometimes this can lead parents to believe that a baby has reflux. If your overactive let-down is causing any symptoms, work with a lactation consultant to help adjust your milk supply.