An abrasive tool includes a support, on which a plurality of abrasive flaps is arranged. The abrasive flaps each have a base and abrasive material, which is attached to the base by means of a binder. To increase the useful life and total material abrasion, the abrasive flaps are reinforced by a cured filling resin. The reinforcement of the abrasive flaps reduces the cyclical deflection thereof around a zero position due to workpiece machining, thereby avoiding increased wear on the abrasive flaps.