Described herein is an aqueous composition including particles coated with at least one non-amphoteric, quaternizable polymer which is water soluble at 20° C., and at least one dispersing component, where the dispersing component includes a dispersing agent selected from an amphiphilic graft polymer based on water-soluble polyalkylene oxides (A) as a graft base and side chains formed by polymerization of a vinyl ester component (B), the polymer having an average of ≤1 graft site per 50 alkylene oxide units and a mean molar mass Mw of from 3000 to 100 000.