Manual application of the abrasive coating to the peel disc is very time consuming. The replacement of peeling discs is an unwieldy process and takes up a lot of time. At least two peeling discs are necessary for each type of crop in order to avoid machine downtime and to permit one peeling disc to be sent away for recoating. A coarser peeling disc is necessary for potatoes than for peeling carrots. Application of the abrasive coating to the peeling disc is to be carried out as far as possible in a mechanical series production process which is simple and cost effective. Cost effective mechanical series production is achieved in that the abrasive coating is a discrete part which can be easily replaced. The abrasive coating combines with a layer-like support to form the part, the structure of the underside of the support matching the structure of the surface of the peeling disc. In a preferred embodiment, the support is made of a thermoplastic film.