The invention relates to a former-press section (100, 110) of a paper machine and to a method of transferring a web from a former to a press section. Between the former section (100) and the press section (110) there is a pre-press zone (PP) which removes water from the web (W) and through which the web (W) is passed as a closed draw from the former section (100) to the press section (110). The upper wet wire (10) or the equivalent transfer wire (10A) of the former section (100) is passed through the pre-press zone (PP), the web (W) being passed on the lower face of said wire into and through the pre-press zone (PP). Inside the loop of the upper wet wire (10) or of the equivalent transfer wire (10A) and/or inside the loop of the lower wet wire (20) there are transfer devices (15, 15a, 16, 26) based on the use of a pressure difference. The transfer devices (15, 15a, 16, 26) are arranged to operate in connection with threading or an operational malfunction such that the web (W) is separated from the upper wet wire (10) or the equivalent transfer wire.