The present invention pertains to a process for the preparation of aqueous dispersions which are stabilised with a water-insoluble stabilising colloid, characterised in that a) in a first step a water-insoluble stabilising colloid is prepared, with this being prepared, based on the amount of monomer used for the preparation of the stabilising colloid, by means of radical polymerization of a1) about 1 to 90 wt. % of at least one olefinically unsaturated monomer, containing at least one sulfate and/or sulfonate group, which optionally may be protonated, a2) about 5 to 99 wt. % of at least one olefinically unsaturated monomer with a water solubility at 20.degree. C. of less than 50 g/l, and a3) up to 50 wt. % of at least one olefinically unsaturated monomer with a water solubility at 20.degree. C. of more than 50 g/l, in water, followed by b) the addition of at least one further olefinically unsaturated monomer and at least one initiator, in which process by means of radical polymerization of the further olefinically unsaturated monomer an aqueous dispersion is obtained, on which c) optionally a residual monomer reduction is performed, with this being carried out by means of polymerization of residual monomers and/or by means of physical removal of the residual monomers and optionally further volatile organic components by means of the introduction of vapour and/or gas. The dispersions obtained in this manner can be converted into water-redispersible polymer powders with the aid of drying. Moreover, the invention pertains to the use of the water-insoluble stabilising colloid, the dispersion, and the water-redispersible polymer-powder.