A roll stand arrangement for rolling wire with a finishing block arranged following the last stand of the intermediate group of a wire rolling mill and composed of fixedly connected roll stands with grooved rolls, and a skin pass block arranged following and having the same configuration as the finishing block, wherein the roll stands of the skin pass block have an oval/oval groove sequence and a subsequent round groove sequence. The sequence of grooves in the roll stands of the skin pass block is composed of two, three, four or more oval/oval successive grooves and, directly following these oval/oval successive grooves, one or two round successive grooves.