A tissue papermaking machine for manufacturing a tissue paper web (1"'), comprising: - a wet section for forming a fibre web, - a press section for pressing the fibre web, said press section comprising: - a single press, comprising: - a first press element, - a second press element, said press elements (12, 13) forming a press nip therebetween with a predetermined pressure, - a press felt running in an endless loop around a plurality of guide rolls and through said press nip together and in contact with the formed fibre web, the second press element being arranged inside the loop of the press felt, - a smooth belt running in an endless loop around a plurality of guide rolls and through said press nip together and in contact with the formed fibre web, the smooth belt comprising an outer layer having a hardness in the range of 50 - 97 Shore A and which, measured according to ISO 4287, part I, has a surface roughness in the uncompressed state in the interval R z = 2 - 80 μm and in the compressed state in the interval R z = 0 - 20 μm for an applied load of 20 - 200 kN/m, the first press element being arranged inside the loop of the belt, and - a transfer roll arranged inside the loop of the smooth belt, - a dry section for final drying of the fibre web (1") pressed in the press nip, said dry section comprising a drying surface for final drying of the pressed fibre web (1"), said transfer roll being arranged to form a transfer nip together with the drying surface for transfer of the fibre web (1") to the drying surface, whereby the smooth belt is arranged to carry the pressed fibre web (1") between the press nip and the transfer nip, and wherein a pre-dewatering device which has a suction device is arranged upstream of the press, wherein the pre-dewatering device is arranged to pre-dewater the fibre web to a dry content of 15-30% without compressing before the fibre web runs into the press nip of the press, and that the press felt and the smooth belt are arranged to be separated from each other immediately after the exit of the press nip and define therebetween an angle (α), which is at least 5° in order to prevent rewetting of the pressed fibre web (1"). - a single press, comprising: - a first press element, - a second press element, said press elements (12, 13) forming a press nip therebetween with a predetermined pressure, - a press felt running in an endless loop around a plurality of guide rolls and through said press nip together and in contact with the formed fibre web, the second press element being arranged inside the loop of the press felt, - a smooth belt running in an endless loop around a plurality of guide rolls and through said press nip together and in contact with the formed fibre web, the smooth belt comprising an outer layer having a hardness in the range of 50 - 97 Shore A and which, measured according to ISO 4287, part I, has a surface roughness in the uncompressed state in the interval R z = 2 - 80 μm and in the compressed state in the interval R z = 0 - 20 μm for an applied load of 20 - 200 kN/m, the first press element being arranged inside the loop of the belt, and - a transfer roll arranged inside the loop of the smooth belt, - a dry section for final drying of the fibre web (1") pressed in the press nip, said dry section comprising a drying surface for final drying of the pressed fibre web (1"), said transfer roll being arranged to form a transfer nip together with the drying surface for transfer of the fibre web (1") to the drying surface, whereby the smooth belt is arranged to carry the pressed fibre web (1") between the press nip and the transfer nip, and wherein a pre-dewatering device which has a suction device is arranged upstream of the press, wherein the pre-dewatering device is arranged to pre-dewater the fibre web to a dry content of 15-30% without compressing before the fibre web runs into the press nip of the press, and that the press felt and the smooth belt are arranged to be separated from each other immediately after the exit of the press nip and define therebetween an angle (α), which is at least 5° in order to prevent rewetting of the pressed fibre web (1").