A process for preparing alkylamines by reacting olefins with ammonia under hydroaminating conditions over a calcined zeolitic catalyst in an adiabatically operated reactor unit, wherein the reaction mixture comprising the starting olefin, ammonia and the corresponding alkylamine is taken off at one or more points and brought into indirect thermal contact with the reaction mixture at one or more points in the reactor unit having in each case a lower concentration of alkylamine compared to the point from which the reaction mixture was taken off, is proposed.