The present invention relates to a cosmetic agent for dyeing keratinic fibers, in particular human hair, including at least one quaternized copolymer of vinylpyrrolidone and dimethylaminoethyl methacrylate, and at least one oxidation dye precursor and/or a direct dye, wherein the use of the at least one quaternized copolymer of vinylpyrrolidone and dimethylaminoethyl methacrylate leads to improved conditioning, in particular to an increased volume, of the keratinic fibers with a simultaneously very low color shift.