Yes, you can breastfeed your baby without having to take him outside the carrier. But there are a few things to look for in a breastfeeding baby carrier. Firstly, it should be washable. It is an added benefit if you can put it inside a washer. Babies will spill the milk from their mouths. If the fabric of the carrier is not staining resistant, it will be harder for you to clean it. For a baby that is of breastfeeding age, comfort is essential. The baby should be able to sleep and eat inside the carrier without any problem. If the baby is showing fussiness, the chances are that the carrier is not that comfortable.