A method for drying a printing ink (114) on a printing substrate (14) in a printing press (30), and a printing press (30). The printing substrate (14) is moved along a path (16) through the printing press (30) and printed on by at least one printing ink (114) at a first position (18) of the path (16). At a second position (124) of the path (16), in a conditioning apparatus, a treatment agent (118) is applied to the printing substrate (14) to accelerate the drying of the printing ink (114) on the printing substrate (14) and includes, in particular, an infrared absorber which has an absorption wavelength that is essentially resonant to the wavelength of the light (12) of the radiant energy source (10). The printing substrate (14) may be dried by the action of radiant energy at a chronologically later point in time, at at least one third position (116) of the path (16), by a drying device, in particular by a narrow-band radiant energy source (10).