A process for operating a press section for producing a fibrous material web, with a nip that is elongated in the direction of web travel that includes an inlet zone, a main pressing zone, and an outlet zone, and where a pressure gradient of pressure p exerted in the main pressing zone of the nip is selected as a function of whether the fibrous material web entering in the nip has an average or high dry matter content, on the one hand, or a low dry matter content, on the other hand.