A machine (1) for processing a liquid food substance incorporates: a container (10) delimiting a cavity (10′) for containing said liquid food substance; an impeller (20) for driving the liquid food substance in the container (10); a motor (30) for driving the impeller (20); a motor chamber (40) for containing the motor (30); and a means for evacuating heat from the motor chamber (40). Such means comprises one or more movable members (50) that are driven by the motor (30) and that are configured to circulate air (2a,2b) in the motor chamber (40) to evacuate heat therefrom.