The invention relates to a device and a process for manufacturing sleeves, in particular paper sleeves for the production of paper cups, comprising a take-up mandrel for taking up a sleeve, whereby the take-up mandrel comprises a circumferential recess, also comprising a press roller for placing on an outer side of the sleeve and for forming at least one circumferential projection in the recess of the take-up mandrel. In accordance with the present invention, the recess is designed in the form of a shoulder.Application for example for the production of stackable double-walled paper cups.