A press section in a paper machine including a first press nip formed between an upper roll and a lower roll whereby a paper web to be dewatered is passed through the first press nip on support of two press felts. The press section includes at least a second and a third press nip formed in connection with a smooth-faced center roil. A press felt is passed through the second and third press nips formed in connection with the center roll. The lower roll in the first nip is a metal-mantle lower roll which has a diameter substantially larger than the diameter of the upper roll in the first nip.