A cylinder sleeve, comprising a cylinder base sleeve consisting of cylindrical base layers arranged on top of each other, wherein said cylindrical base layers comprise one or more cylindrical polyurethane layers, wherein, independently of each other, at least 50 weight-% of each of said cylindrical polyurethane layers consist of polyurethane, and wherein the outermost cylindrical base layer is a cylindrical polyurethane layer; and one or more cylindrical layers, arranged on top of each other, wherein the innermost cylindrical layer is applied on the lateral surface of the cylinder base sleeve according to (a) and wherein the outermost layer of said one or more cylindrical layers is an adhesive layer for attaching a printing plate thereto, wherein the cylinder base sleeve according to (a) exhibits a carbon dioxide release coefficient RCO2 in the range of from 0 to 9.5 ppmv cm−3 d−1.