Aqueous polymer solutions are described which have been stabilized with a preservative mixture of 0.01 to 0.2% by weight of ethylhexylglycerol, 0.001 to 0.01% by weight of 2-methylisothiazolinone and 0.05 to 0.5% by weight of phenoxyethanol. The stabilized polymer solutions are suitable for cosmetic preparations, such as skincare and hair care compositions, products of decorative cosmetics and cosmetic cleaning products.