A peel-off lid with a rolled-in section around the extraction opening is formed in such a way that before forming the rolled-in section a thin plastic strip is applied onto the collar of the lid ring. After forming the rolled-in section, the plastic strip is melted in order to reach a good adhesion of the plastic on the upper side and the underside of the peel-off lid in the rolled-in section. In this way it is possible to reach a practically hermetic sealing of the cutting edge of the peel-off lid in an inexpensive way and with the possibility to manufacture with high cadence.