The invention relates to a method for comminution of mill feed, in particular for the cement industry, wherein the grinding material is subjected in a mill, in particular an air swept roller mill, to a grinding-drying with supply of a hot gas, is classified and fed as a dust-gas mixture to a filter for dust separation.In order to improve the energy balance and to save heat energy which is generated using a hot gas generator it is provided that fresh gas or fresh air, which is admixed for removal of the moisture of the grinding material in a predefinable portion to the recirculated hot gas or process gas, is preheated before admixing. The preheating of the fresh gas takes place in a heat exchanger through transfer of the heat energy of the process gas to be removed which is then discharged at a lower temperature to the environment. The preheated fresh gas is fed to the grinding circuit and admixed to the recirculation gas at the required points, for example as combustion air or via fresh air dampers, before or in the mill.