Abstract: A disposable cover for a bumper block comprises a body member having a cavity and an opening for receiving the bumper block. The body member is formed from an elastic polyethylene resin so that the body member may be expanded to accommodate the bumper block when the cover is placed thereon. In order to make the disposable cover, a tubular sheet of the polyethylene resin is flattened to form opposing sidewalls. Perforations are added at spaced apart locations along a length of the sheet, and the opposing sidewalls are heat sealed together proximate to the spaced apart locations. The sheet is cut along its length and the perforations are torn to form individual covers.