Abstract: Aqueous dispersions (U) containing: (A) a UV-light-absorbing textile treatment agent, (B) a dispersant system and (C) a carboxyl-containing crosslinked copolymer, and optionally (D) at least one formulation additive, are useful for the corresponding UV-active finishing of textile material, in particular textile material which can be dyed with disperse dyes or optically brightened with disperse brighteners, especially for treating cheeses with liquors comprising disperse dyes and UV absorbers or liquors comprising disperse brighteners, without fear of troublesome pressure build-up or dye or brightener deposits.