In an apparatus for the fiber-sorting or fiber-selection of fiber material which is supplied by means of a supply device to a fiber-sorting device, and a mechanical device is present which generates a combing action to remove non-clamped constituents such as short fibers, a clamping element is present. Downstream of the supply device there are arranged at least two rotatably mounted rollers with clamping devices for the fiber bundles, and the device for generating a combing action is associated with a said roller, wherein for the suction of the supplied fiber bundles, at least one suction device is associated with the clamping devices in the region of the transfer of the fiber bundle from the supply device to the first roller and/or in the region of the transfer of the fiber material from the first roller to the second roller.