Abstract: The invention relates to the use of a roller or a rubber blanket with a covering made of elastomeric material with an outer surface for indirect or direct transfer of a damping solution and/or a printing agent to a print carrier of a printing press. In order to enable a virtually optimum printing result, even in the presence of changing process conditions, and to display improved back-transfer properties with unchanging properties over the service life, it is proposed that a roller/rubber blanket be used which has an outer surface that constitutes an elastomeric surface coating of the covering and contains, or completely consists of, a fluoroelastomer, particularly an elastomeric fluorinated rubber. The fluorinated rubber can, in particular, be a tetrafluoroethylene-hexafluoropropylene-vinylidene fluoride copolymer.