Method of manufacturing a tire tread having a plurality of raised elements, each having a contact face intended to come into contact with a ground when the tire is rolling and lateral faces connected to this contact face. The method of manufacture comprises: preparing a green form of the tire; laying a cover layer over all or part of an external surface of the green tire; laying the green tire in a mold; with the mold comprising a blade, using this blade to mold a lateral face of a raised element; vulcanizing the green tire to obtain the tire cutting the cover layer using cutting means belonging to the mold; during the molding of the lateral face driving with the blade a cut part of the cover layer into the green tire so that the lateral face of the raised element is partially or fully covered.