A machine for making liquid or semi-liquid products, including: a first processing container for processing a basic liquid or semi-liquid product and defining a processing chamber; a cooling cylinder mounted inside the first container; a rotary stirrer mounted inside the first container and outside the cooling cylinder; a thermal treatment system provided with at least a first exchanger associated with the cooling cylinder; a second processing container; a connecting duct designed to connect the second processing container to the first processing container to transfer the basic liquid or semi-liquid product from the second processing container to the first processing container; a dispensing device associated with the first processing container to deliver the liquid or semi-liquid product to the outside.