The present application relates to a process for producing a composition comprising at least one acrylamide polymer P and at least one stabilizer St for preventing polymer degradation by molecular oxygen, wherein the acrylamide polymer P is obtained in the form of a polymer gel, and the acrylamide polymer gel having a water content of at least 30% by weight, based on the overall polymer gel, is treated with an aqueous solution SS comprising 0.1% to 50% by weight, based on the overall aqueous solution SS, of the at least one stabilizer St.