The invention relates to a composition in the form of an oil-in-water emulsion and its use that contains in a physiologically acceptable medium,i) at least 0.005% by weight, preferably at least 0.01% by weight, relative to the total weight of the composition, of at least one inulin modified with hydrophobic chains, andii) at least 0.01% by weight, preferably at least 0.05% by weight, of active substance relative to the total weight of the composition, of at least one hydrophilic acrylic polymer selected from the at least partially neutralized, crosslinked acrylic homopolymers or copolymers, the polyacrylamidomethylpropanesulphonic acid (AMPS) homopolymers and mixtures thereof.
