A hydraulic arrangement and method in connection with a cutting device includes a hydraulic input line, a hydraulic motor, a return line from the hydraulic motor, a hydraulic cylinder for pressing the cutting device, a feed line for the hydraulic cylinder, connected in parallel with the hydraulic motor to the input line, and a directional control valve and a pressing line and a lifting line. The hydraulic arrangement further includes a throttle for throttling the flow exiting from the hydraulic motor in the return line, and a pressure valve located between the said pressing line and the pressure side of the throttle, for controlling the hydraulic cylinder on the basis of the speed of rotation of the hydraulic motor.