A disposable sleeve for compression therapy including a first wall to be located adjacent a patients body to be treated and a second wall to be spaced from the patient body by the first wall, each of the walls comprising an internal layer made of an airtight material and an external layer disposed adjacent to the internal layer and made of a porous material, the internal layers of the two walls facing each other, all of the layers bonded to each other along bonding seams and free of such bonding at locations spaced from the bonding seams and airtight cells defined between the walls, bound by the bonding seams and configured for being inflated, and at least one non-inflatable area spaced from adjacent cells by at least one bonding seam and having one or more through holes formed in the internal layer of each of the walls.