A corrugating roller, for the manufacture of corrugated cardboard, has a rotation axis and a corrugation. The corrugation has corrugation peaks and corrugation troughs as well as corrugation flanks, which connect the corrugation peaks and the corrugation troughs with each other. The corrugating roller has an air discharge device with an air collection groove, which is open outwardly in a radial direction, runs at least section-wise around the rotation axis, intersects at least some of the corrugation peaks and is limited by a first and a second side wall, which face each other. The air discharge device has an air connection channel, which extends from the side walls of the air collection groove, and an air suction channel, which is in flow connection with the air connection channel and can be subjected to negative pressure.
