Abstract: An expandable abrasive sleeve is used on an inflatable tool for abrading or finishing a surface of a workpiece. The inflatable tool includes an inflatable bladder clamped at first and second ends of a core having an elastomeric outer core portion. The inflatable bladder is inflated by a pressurized medium and forms a pocket or chamber around the elastomeric outer core portion. The expandable abrasive sleeve is disposed around the inflatable bladder and expands from one end to the other end when inflated. The expandable abrasive sleeve includes an elastomeric backing and abrasive strips adhered to the elastomeric backing in an overlapping arrangement. In one embodiment, the elastomeric backing includes stiffeners embedded therein and extending generally longitudinally.