The invention relates to a method for scrubbing air to be purified from a space (102) with an aqueous washing liquid (302), wherein the air to be purified is passed through a scrubber (106) having an air supply side (107) and an air discharge side (108) and cleaned air exits the scrubber (106). According to the invention there will be cooled to below the dew point using a heat exchanger (310), cleaning the air to a greater extent and recovering heat. At the same time the formation of slime is counter-acted. More specifically, washing liquid (302) from the scrubber (106) is subjected to heat exchange for the cooling down thereof using the heat exchanger (310) before being re-used for scrubbing.