with a product web speed of 40 m man through the device 6 the temperature of the pure hot steam amounts to 100 u00b0 c the nozzle pressure at the nozzle openings of the nozzle boxes 15 amounts to 700 pa after a retention time of 5 seconds the overwhelming part of the dye is reacted with the fibers of the product web 1 and is fixed after further 5 seconds the product web 1 is completely dried and the residual part of the dye is fixed the initial moisture is reduced by approximately 20 in the device 6 to a value smaller or substantially equal to 5 the total retention time in the device 6 amounts to 10 seconds in the embodiment shown in fig3 the device 6 for dye fixing corresponds to the previously described device three treatment chambers 12 are arranged in the housing 10 each treatment chamber 12 is provided with a circulating fan 14 and an upper and a lower nozzle cast 15 the transporting device also has a circulating conveyor formed as a sieve band 51 which in contrast to the first example is guided over two deviating rollers 52 and 53 with its upper and with its lower run through the treatment chambers 12 in other words the conveyor is supplied back through the treatment chambers 12 also the deviating roller 52 is located completely in the inlet lock 9.