A delivery for a sheet-processing machine includes a sheet brake for braking processed sheets from a processing speed to an output speed, a sheet conveyor for transporting the processed sheets in a conveying direction at the processing speed and for transferring the processed sheets to the sheet brake, and a body defining a gap which, during operation, is connected to a vacuum generator and over which the sheets are pullable by the sheet conveyor for smoothing the sheets before they are transferred to the sheet brake, the gap being formed at the sheet brake; and a sheet-processing machine, more particularly, a printing machine, including the delivery.