The invention relates to a tyre tread comprising: a plurality of tread pattern elements having side surfaces and a contact surface intended to make contact with the road during the rotation of a tyre provided with said tread, the contact limit between the contact surface and the ground forming at least one edge; and a plurality of cut-outs (3) in the form of a groove and/or incision, said cut-outs (3) being defined by opposing side surfaces, and each tread pattern element being formed with at least a first rubber mix (know as the "base mix"). The tread is characterised in that, seen in section in a plane normal to the axis of rotation of the tyre and extending through at least one contact surface of a tread pattern element, at least one of the cut-outs adjacent to said contact surface is covered at least partially with a cover layer and in that the cover layer comprises an assembly of woven or non-woven fibres.