The invention concerns a method for making flexible tube skirts comprising a step of making a cylindrical sleeve from a planar web including several plastic or metallic layers followed by a step whereby said cylindrical sleeve is cut out to the desired length to obtain said skirts. It comprises a step prior to the step of making the cylindrical sleeve, wherein the web is subjected to a plastic deformation resulting in its being thinned by at least 0.5 % or in producing a raised surface whereof the amplitude ranges at least between 1/30 and 5 times the thickness. The web is for instance passed through the air gap between two substantially parallel rolls. Typically, the rolls exert on the web a force ranging between 2.5 and 500 newtons per millimeter of web width.