Method for steam recapture in the drying of a tissue paper web with a cylinder that is fed from a live steam network and with a hot air hood that flows hot air onto the tissue paper web, includes the steps of: removing condensate from the cylinder; compressing the condensate to a first pressure level essentially corresponding to that of the live steam network; heating the condensate by heat exchange with the exhaust air from the hot air hood; vaporizing the condensate; and feeding generated steam into the live steam network.