An object of the present invention is to produce a suitable printed image in a printing machine and provide efficient cooling of the printing material following a fusing operation. To do so, a method for fusing toner to a printing material (5) is provided, in which case the printing material (5) is guided in a contacting manner below the toner's glass transition temperature and in a non-contacting manner above the toner's glass transition temperature. Furthermore, a fusing arrangement (1) is provided, which comprises at least one device (3) for guiding the printing material (5) in a contacting manner below the toner's glass transition temperature and at least one device (12) for guiding the printing material (5) in a noncontacting manner above the toner's glass transition temperature.