An assembly for a vehicle roof cover, wherein the cover can be moved from a closed position for closing a roof opening into an open position for at least partially releasing the roof opening. The assembly may have: a cover carrier for carrying the cover, a positionally fixed guide rail, and a carriage mounted so as to be displaceable in the guide rail along an opening direction. The cover carrier has a positionally fixed slotted guide to which the carriage may be coupled in the closed position, such that a deployment of the cover along a vertical direction (Z direction) is blocked in the closed position. The cover carrier has a locking apparatus configured so that a movement of the cover carrier along the vertical direction (Z direction) is limited in the closed position.