A vehicle armrest is designed to allow for sliding movement between retracted and extended positions as desired by the vehicle occupant. A tambour door is disposed over at least part of the armrest, and may be moved fore and aft to allow access to storage volumes within the armrest or a support structure. The armrest is supported by sliding structures, such as engaged rails, and the tambour door is supported by tracks, one of which is fixed or stationary, and the other of which moves with the armrest. In this manner, the tambour door may be fully supported as it moves fore and aft, whether the armrest is in the retracted or extended position.