A tool for polishing a seal surface of a wellhead assembly includes a cylindrical tool body with an axis. The tool body includes a base member with a first end, and a second end. A tubular skirt member extends from the second end of the base member. The skirt member has a sidewall, a base end connected to the base member, and an open end opposite the base end. A plurality of axial slots extend through the sidewall of the skirt member, the axial slots being spaced circumferentially around the skirt member. A polishing belt is woven through the axial slots of the skirt member.