A device for drainage of a pulp web, particularly a tissue web, having a first pressing zone having a first pressing zone length through which the pulp web is fed horizontally between a circulating, permeable band and a circulating, permeable support band. The first pressing zone is designed such that a fluid can flow through the band, the pulp web and the support band at least on one part of the first pressing zone length. In addition, the device has a subsequent second pressing zone having a second pressing zone length. The pulp web is guided through the second pressing zone between two bands having differing compressibility.