A method for controlling a shift process of an automatic gearbox for a vehicle with an internal combustion engine as its engine, including specifying a shift strategy in a controller, by continuously predictively determining the behaviour of the engine following any shift process into a target gear on the basis of a current detected vehicle dynamic value, a current detected vehicle specific actual value, and/or a current detected engine specific actual value. The prediction results are taken into account and adapted shift thresholds are determined and specified as upshift thresholds or downshift thresholds for a fuel efficient shift. A control command for a corresponding automatic shift process is output after exceeding a shift threshold. The current temperature of at least one component of the engine exhaust system is taken into account during the specification of an adapted shift threshold.