A process for adhesively bonding a substrate, using an adhesive comprising a polymer binder and a crosslinker compound I comprising carbodiimide groups, wherein the compound comprising carbodiimide groups is obtainable by reacting a) carbodiimides of 1,3-bis(1-methyl-1-isocyanatoethyl)benzene, 1,4-bis(1-methyl-1-isocyanatoethyl)benzene or a mixture thereof with b) polyalkylene oxides having at least two isocyanate-reactive groups, preferably at least two hydroxyl groups, and c) if appropriate, further compounds reactive with a) or b).