A tread for a pneumatic tyre includes tread pattern elements and cuts. Each tread pattern element includes lateral faces and a contact face that comes into contact with a road surface when the tyre is being driven thereon. A boundary between the contact face and the lateral faces forms at least one edge corner. The cuts are formed as grooves and/or sipes, with the cuts being delimited by opposing lateral faces of the treat pattern elements. Each tread pattern element is formed of at least one rubber compound. When the tread is viewed in cross section in a plane normal to an axis of rotation of the tyre and passing through a contact face of a tread pattern element, at least one of the cuts adjacent to that contact face is covered at least in part with a covering layer that contains a woven or nonwoven fibre assembly.