A process for producing a cup made of a paper material and comprising a fillable interior is described. A sleeve forming the interior is attached in an essentially liquid-tight manner to a wall of a pot-shaped bottom by means of the forming of a bottom skirt. In joining the sleeve to the bottom, two height areas of the wall of the pot-shaped bottom are provided. The wall of the pot-shaped bottom is joined only to a first height area of the sleeve, which is referred to as the fixed area of the bottom skirt. A second height area remains, in which the wall of the pot-shaped bottom is not attached to the sleeve, and which is referred to as the non-attached area of the bottom skirt. The bottom skirt can be widened subsequently in the non-attached area in at least one area along the periphery.