An inflatable wrap for promoting venous or arterial blood flow enhancement in the human hand. The wrap comprises an inflatable bag fastened to a backing material. The bag is shaped to fit against the palm of the hand and portions of the back of the hand. The backing material comprises a base portion substantially corresponding to the palm of the hand and two or more interengageable lobes that may be fastened together across the back of the hand to retain the inflatable bag securely against the hand such that upon inflation of the bag a pumping pressure is applied positively to the hand to promote the venous or arterial flow enhancement.