In an apparatus for the fiber-sorting or fiber-selection of a fiber bundle, especially for combing, which is supplied by means of supply device to a fiber-sorting device, especially a combing device, in which a mechanical device is present which generates a combing action to loosen and remove non-clamped constituents, and a clamping element is present for transfer of the supplied fiber material. To enable productivity to be increased in a simple manner and an improved combed sliver to be obtained, downstream of the supply device there are arranged two rotatably mounted rollers, which are provided with clamping devices for the fiber material having clamping elements that are distributed spaced apart in the region of the roller periphery and co-operate with counter-elements, the counter-elements in the case of the first roller being arranged opposite the roller periphery and in the case of the second roller on or in the roller.