Abstract: A sleeve for use with a tourniquet cuff to protect a patient's limb from tourniquet-related injury includes a stretchable body extending longitudinally over a sleeve length between a proximal end and a distal end. The body has a tubular shape, and the sleeve length is greater than a width of the tourniquet cuff. The body tapers from the proximal end to the distal end such that a proximal end circumference is greater than a distal end circumference. The body is formed to apply substantially uniform pressure to the patient's limb from the proximal end of the sleeve to the distal end of the sleeve varying only within a predetermined pressure range.