Abstract: A sleeve for sealing a jointed connection is designed in the form of an elastically deformable bellows. On the two ends of the bellows, there are axially aligned ring flanges, which fix the sleeve on a cylindrically shaped fastening flange, and on a shaft, using a muzzle hoop. For fixing fastening flanges of different sizes, several ring flanges have stepped diameters and are lined up in a row. A radially inwardly drawn rib is shaped by molding on the inner end of the ring flange. The rib sealingly rests against the face side of the fastening flange. For achieving an adequate sealing effect, the inside diameter of the rib is smaller than or equal to the inside diameter of the next-smaller ring flange.