The present invention relates to moisture-reactive adhesive compositions which comprise a specific dialdimine of the formula (I) and also a polyurethane polymer P1 which is liquid at room temperature and contains isocyanate groups. These compositions are notable for a very low temperature dependency of the shear modulus, i.e. after 7 days' storage at room temperature and 50% relative humidity they feature a ratio of the shear modulus measured at -20.degree. C. to the shear modulus measured at 23.degree. C. of less than 1.7. These adhesive compositions are suitable more particularly as glazing adhesives for means of transport.