Changes of properties (for example, dampness, sliding characteristic, gloss) of a printing substrate web caused by a printing of a printing substrate web are corrected by a multifunction device that is arranged at an output of the printing device. In the multifunction device, arranged in succession in the transport direction of the printing substrate web are devices for buffering, for smoothing, for moistening, for cooling, for lubrication and for discharge of the printing substrate web. The devices are executed and adapted to one another such that they can be optionally deactivated by the uses without affecting the functions of the remaining devices.