A method and device for stabilizing the running of a paper web in a paper machine in connection with a paper guide roll, in particular between a press section and a dryer section. In the method, the paper web is passed over the paper guide roll onto a drying wire or equivalent and negative pressure (suction) in the opening nip of the paper guide roll is lowered until a transition is made to the side of positive pressure in order to press the paper web against the drying wire or equivalent. The device includes a nozzle beam and an air chamber which communicates with a blow air duct. The nozzle beam is placed at the side of the opening nip of the paper guide roll such that the blowing discharged out of a nozzle opening of the nozzle beam is directed at the opening nip in order to press the paper web against the drying wire or equivalent.