Abstract: Flexible abrasive means having an underlay, which comprises a knitted fabric, which consists of a base knitted fabric (1) and at least one layer of warp threads (6) and at least one layer, separated from the latter, of weft threads (5) and includes a strengthening size. In each case a plurality of warp threads (6) per needle space (3) are held next to one another by different binding into the pattern in such a way that they run partly under and partly over the cross threads (4) of the base knitted fabric (1). All of the warp threads of a group of warp threads can be separated from one another by cross threads of this base knitted fabric alternating from the upper side to the underside of this warp thread group. A high dimensional stability of the abrasive means in the directions other than the directions of the warp and weft threads is obtained.