Inking units of a printing unit having at least one first inking unit roll and having a second inking unit roll which can be pivoted between the first inking unit roll and a third inking unit roll, at a distance from the first inking unit roll. A pivot drive for pivoting the second inking unit roll is provided with a drive assembly which is mechanically independent from the rotation of cylinders of the printing unit and also from inking unit rolls provided in the inking unit. A screwing down force for at least one of the first and third inking unit rolls can be set by one of predefining and changing a set point value relating to the drive force of the drive assembly remotely by the actuation of an adjusting assembly.