A roller cover for covering the baggage space of station wagons has an elongated housing in which the winding shaft of the cover is rotatably supported and which, in the driven-in state, receives a web for covering the space. The housing of the cover is provided with cup-shaped end caps which are spring-biased outwardly from the main body of the housing, so that the housing with the winding shaft centers itself in the auto body. For the locking of the cover in the vehicle, locking sliders are guided slidably in the end caps and are biased into locking positions by springs supported in the end cap so that the holding force of the locking members is independent of the auto body tolerances.