The present disclosure relates to the field of treating atmospheres that are laden with substances that are nauseating and/or detrimental to human or animal health, specifically to the field of deodorising, perfuming, and/or purifying air at industrial or private sites. For this purpose, there is disclosed a method for enriching, preferably saturating, ordinary atmospheric air with active substances present in the gas phase, to a device for implementing the method, and to the use of the method for the treatment of polluted atmospheres. The method is especially characterized in that it advantageously includes a step of reinjecting a portion of the enriched gaseous mixture (MG) into an enrichment or saturation chamber (7) in order to increase the enrichment rate of the gaseous mixture (MG) or to maintain the mixture at the maximum saturation level thereof.
