In an apparatus on a spinning room machine for depositing fiber sliver, a stationary delivery device for delivering fiber sliver and a substantially flat receiving support surface for receiving and collecting the fiber sliver as a can-less fiber sliver package are present. The receiving support surface, which is substantially unenclosed, is movable during the depositing process back and forth in the horizontal direction by a drive arrangement. In order to improve the production of the can-less fiber sliver package, the speed of the receiving support surface with the sliver package is alterable substantially on a reversal path such that a gradual braking to speed value zero to the speed of the back and forth movement are effected.