A covering is particularly suited for use in a machine for producing and/or finishing a paper, cardboard, tissue or pulp web. The covering has a basic structure formed as a part of a flat woven material, which flat woven material is designed as a woven material by interlacing warp threads and weft threads. The portion of the flat woven material has a plurality of sections that are formed integrally with each other, with at least one property of one of the sections differing from the respective property of at least one adjacent section.