A rotary printing press is disclosed. The press includes at least one plate-free printing unit for printing a substrate web with a static print image for print copies of a print job and at least one plate-free printing unit, in particular an inkjet printing unit for printing the substrate web with a dynamic print image. The/each plate-free printing unit can be shifted from a printing position in which the substrate web can be printed by the same printing unit, into a service position in which no substrate web can be printed by the same printing unit. A device which is assigned to the service position is printable by at least one plate-free printing unit that is shifted into the service position, such that the printing parameters of the same can be verified and adapted to subsequent printing of the substrate web in the printing position.