Abstract: A cutting device for arranging a cut around the anus of a slaughtered animal, which cutting device comprises:a positioning rod for insertion into the anus of a slaughtered animal;a rotatably drivable cylindrical beaker-shaped knife which is placed coaxially round the positioning rod and whereof the free end is provided with a cutting edge; andpressure means and suction means comprising a conduit extending through the positioning rod, debouching on the peripheral surface of the positioning rod at a distance from the cutting edge and connectable to a pressure source and an underpressure source respectively for generating an overpressure and an underpressure respectively at the position of the debouchment of that conduit.