Process and apparatus for dewatering a fibrous material web. The process includes guiding the fibrous material web through a dewatering zone, and directing a plurality of gas pressure pulses of a pressurized displacement gas one after the other onto a surface of the fibrous material web within the dewatering zone. The apparatus includes a device for forming a plurality of gas pressure pulses which are arranged one after the other within the dewatering zone. The plurality of gas pressure pulses are directed onto a surface of the fibrous material web.