Apparatus for altering the body temperature of a patient comprises a cover for covering at least a portion of a patient's body and a compliant support adapted to underlie and generally conform to the shape of the portion of the patient's body to define a well adjacent to the patient's body portion for accumulating heat transfer liquid. The cover and compliant support cooperatively define an enclosure for receiving the portion of the patient's body and are constructed to conduct a heat transfer liquid into direct contact with the portion of the patient's body received in the enclosure to promote heat transfer between the patient's body and the heat transfer liquid.