A machine for making a liquid or semi-liquid product of the frozen type which includes a container for processing the liquid or semi-liquid product, provided with a loading opening; a stirrer positioned inside said container; a refrigeration system, provided with a heat carrying fluid, and comprising a heat exchanger, associated with said container; said container, stirrer and heat exchanger forming a batch freezing unit, a supplying unit for supplying a basic liquid product, associated with said container for releasing a basic liquid product designed to be mixed with a basic powder; closing means for the supplying unit, operatively acting on the supplying unit and capable of being activated and deactivated to allow supplying of the basic liquid product; a control unit, designed to control the refrigeration system, said stirrer and the closing means.