In the United States, as many as 6% of children are affected by food allergy. Milk is among the most common food allergens in infants and children. Although strict avoidance of milk is the current standard of care for those with milk hypersensitivity, there is no conclusive evidence that absolute dietary restriction is necessary for achieving clinical tolerance. The purpose of this study is to determine whether ingestion of small amounts of extensively heated milk protein might be permitted without compromising the chances for ultimately losing milk hypersensitivity or prolonging the time needed to achieve clinical tolerance in a selected population of milk-allergic participants.