A disposable sleeve for compression therapy, with at least one inflatable air cell defined between a first airtight wall adjacent a patients body to be treated and a second airtight wall. Each of the first and second walls includes an external porous layer and an internal layer including air-tight polyethylene (PE). The walls are bonded by molten portions of the PE internal layer penetrating and set in their corresponding external porous layers and welded to each other, the bonding enduring at least 250 inflation-deflation cycles associated with the therapy.