A machine (1) for making a liquid or semi-liquid product of the frozen type comprises:- a container (2) for processing the liquid or semi-liquid product, provided with a loading opening (3)- a stirrer (4) positioned inside said container- a refrigeration system, provided with a heat carrying fluid, and comprising a heat exchanger (5), associated with said container (2)- said container (2), stirrer (4) and heat exchanger (5) forming a batch freezing unit (6),- a supplying unit (7) for supplying a basic liquid product, associated with said container (2) for releasing a basic liquid product designed to be mixed with a basic powder- closing means (8) for the supplying unit, operatively acting on the supplying unit (7) and capable of being activated and deactivated to allow supplying of the basic liquid product- a control unit (10), designed to control the refrigeration system, said stirrer (4) and the closing means (8).