A mold element for molding and vulcanizing a tire tread having a plurality of raised elements, each raised element having a contact face intended to come into contact with a road surface and lateral faces connected thereto. The mold element comprises cutting blades able to cut a cover layer already applied to a green form of the tire. Each cutting blade comprises a body, at least one of the cutting blades comprises a protrusion projecting from this body, able to drive a cut part of the cover layer into the depth of the green tire to cover all or part of a lateral face of a raised element. The cutting blade comprises, at one end of the body, a cutting edge forming an acute angle α for cutting the cover layer.