Abstract: A device for applying compressive pressures against a patient's limb from a source of pressurized fluid comprising, an elongated pressure sleeve for enclosing a length of the patient's limb. The sleeve has a plurality of separate fluid pressure chambers progressively arranged longitudinally along the sleeve from a lower portion of the limb to an upper portion of the limb proximal the patient's heart relative the lower portion. The device has means for filling the chambers from the source during periodic compression cycles while applying a greater pressure in each lower chamber than the pressure in any upper chamber to apply a compressive pressure gradient against the patient's limb by the sleeve which progressively decreases from the lower to upper limb portions. The device also has means for emptying the chambers during periodic decompression cycles between the compression cycles.