The invention relates to an arrangement in connection with the press section of a web-forming machine. The arrangement includes at least one press nip (10) for dewatering the web (11) manufactured on a web-forming machine. The arrangement also includes a smoothing press (12) including a smoothing roll (13) arranged after the press nip (10). The smoothing press (12) includes smooth heat carrying means (14') arranged as a loop around at least two guide rolls (15). The smoothing roll (13) is arranged into contact with the means (14') between two guide rolls (15). The smoothing roll (13) and/or at least one of the guide rolls (15) is a deflection compensated roll.