The invention relates to a process for working up water containing 4,4′-dichlorodiphenyl sulfoxide and/or 4,4′-dichlorodiphenyl sulfone as impurities, comprising: (a) mixing the water containing 4,4′-dichlorodiphenyl sulfoxide and/or 4,4′-dichlorodiphenyl sulfone as impurities with an organic solvent in which 4,4′-dichlorodiphenyl sulfoxide and/or 4,4′-dichlorodiphenyl sulfone have a solubility of at least 0.5 wt % based on the amount of 4,4′-dichlorodiphenyl sulfoxide and/or 4, 4′-dichlorodiphenyl sulfone and organic solvent at 20° C., which forms a two-phase system with water and which can be stripped from water with a stripping gas and subsequently separating the obtained mixture into an aqueous phase and an organic phase, and (b) stripping the organic solvent from the aqueous phase with a stripping gas.