A sleeve, in particular a rubber-blanket sleeve, for a printing press is disclosed. The sleeve having a construction which has at least two layers, having an inner layer which is configured as a carrier layer and an outer layer which is configured as a covering layer and serves for pressure transfer, the sleeve having a hollow-cylindrical design with a cylindrical inner surface and a cylindrical outer surface. The inner layer which is configured as a carrier layer is convexly or concavely curved on the radially outer side, a layer which adjoins the carrier layer having a curvature on a radially inner side which is complementary to the curvature of the radially outer side of the carrier layer.