Process for preparing stable polymer concentrates, wherein acryloyldimethyltaurine and/or acryloyldimethyltaurate are free-radically polymerized with at least one further component in the presence of a polymerization medium, a higher-boiling solvent or solvent mixture is added to the resulting reaction product or reaction mixture, and the lower-boiling polymerization medium is removed, optionally under reduced pressure.