A convertible vehicle has a vehicle body with a passenger compartment defined therein and a rearward body region with a top storage well defined therein. A movable roof has a closed position extending over the passenger compartment and a stowed position in the top storage well. The top storage well has a base element that is movable between a raised position and a lowered position. The base element covers an intermediate space between the rearward side of the seats and the inner side of the rear roof region when the roof is in the closed position and the base element is in the raised position. A coupling linkage interconnects the base element with the rear roof region such that movement of the roof from the stowed position to the closed position causes movement of the base element.