A machine for indirect ink-jet printing and more generally to a machine for indirect digital printing. A first transfer roller is at a printing position at which it provides ink to a first printing roller. The first printing roller engages and transfers ink onto a counter roller for the printing. When its printing has been completed, the first printing roller is moved to a storage position. A second printing roller is selectively moved from a waiting position to the working position to provide ink. The rollers are moved along guides between their positions.