A drum covering for a drive drum (21) in a corrugating machine has a textile carrier material that reversibly shrinks when heated up, said carrier material being coated on at least one side with a coating material. Furthermore, it has two rectangular regions (71, 72) that are each connected to a convexly deltoid-shaped region (6) on a narrow side. Sets for producing the drum covering contain several covering pieces. A drive drum provided with the drum covering can be produced by the central axis (M) of the convexly deltoid-shaped region (6) being arranged along the circumferential central axis of the drive drum (21). Then, the convexly deltoid-shaped region (6) is fixed on the drive drum surface by means of at least one fixing element. The drive drum (21) is rotated, wherein the rectangular regions (71, 72) of the drum covering are wound around the drive drum (21) in a spiral-shaped manner. The rectangular regions (71, 72) are cut off on the ends of the drive drum (21) and the ends of the rectangular regions (71, 72) are fixed on the drive drum surface by means of further fixing elements. This drive drum can be installed in a corrugating machine in such a way that the rectangular regions (71, 72) are wound around the drive drum against the rotational direction of the drive drum (21) when the corrugating machine is in operation.