A process and apparatus for treating a pulp web (9) in a paper or board machine in a pressing unit (29) with one press roll (24) that has a rotating press shell (25) and one opposing roll (23), where the pulp web (9) is dewatered in an extended press nip (26) between the opposing roll (23) and the pressing shell (25) of the press roll (24). The pulp web (9) is carried on the rotating pressing shell (25) of the press roll (24) to a transfer zone (30), where the pulp web (9) is passed from the pressing shell (25) onto a transfer element (31, 27) after leaving the extended press nip (26).