Abstract: A roll which has a metallic core and an elastomeric envelope is obtained by assembling the cover from a stack of discs each of which surrounds the core. In order to impart to the cover a desired elasticity, the discs contain a fibrous material and a plastic substance and are pressed against each other in the longitudinal direction of the core. The plastic substance is hardenable within an interval exceeding 48 hours. The pressing step is started with a delay following the step of placing the discs around the core such that the hardening begins prior to compressing and is terminated within an interval not less than 48 hours following the start of the pressing step.