The disclosure relates to a sleeve for fitting around a spooling drum: the sleeve comprises at least a groove for receiving a conveying element to be spooled around the drum, is made of flexible material and is configured so as to be able to take a first configuration in which the sleeve forms a flat sheet, the groove extending in a direction, called spooling direction, and a second configuration in which the sleeve forms a cylinder, with the groove is situated on an external face of the cylinder.