Many mothers ask me if there a list of foods to avoid while breastfeeding? The short and simple answer is no. There are NO foods that a mother needs to avoid just because she is breastfeeding. Allergies and foods to avoid while breastfeeding Only mothers of babies with family histories of serious food allergies should maintain a list of foods to avoid while breastfeeding. Some studies support that a young breastfed baby can become sensitized to allergens in breast milk.