Abstract: Conventional regenerative adsorptive methods for the purification of waters of organic constituents are limited in their application, when owing to a low content of organic water constituents the loading of the adsorbers is so low that the condensed water vapor desorbate no longer has a tendency to form two phases, or when the organic components are readily water-soluble and thus, following desorption with water vapor, can be separated only with difficulty out of the condensed desorbate. The process of the invention improves the tendency toward phase separation by cycling back the aqueous phase of the desorbate onto a loaded adsorber prior to its desorption in order to increase the loading and reduce, through additional supply of external heat, the required amount of water vapor for desorption. The present process is particularly useful for purification of industrial process waters or ground water.