The invention refers to a process for producing an anticorrosive coating in which a surface to be treated is brought into contact with an aqueous treatment solution containing chromium(III) ions and at least one phosphate compound and an organosol. The corrosive protection of metal surfaces, in particular those containing zinc and zinciferous surfaces with conversion layers is improved. The decorative and functional properties of the surfaces are retained or improved. In addition, the well-known problems associated with the use of compounds containing chromium(VI) or with multi-stage processes are avoided in which a passivation layer containing chromium ions and a sealing are applied one after the other.