5 of the machine 1 the method also comprises the step of heating a predetermined water quantity to the desired temperature and bringing the water to the desired pressure which as seen is preferably 9 bar these steps are implemented by the feed means 6 the water is made to pass through the quantity of ground coffee powder by making it pass through the filter 5 according to the present invention the method comprises the step of measuring a ground coffee powder temperature this step is implemented by the temperature sensor 11 in particular the value of the temperature of the powder leaving the coffee grinder 7 is measured in that case the temperature measurement step and the coffee grinding step are simultaneous the desired temperature to which to heat the water is determined on the basis of the measured value of the coffee powder temperature this step is conducted by the electronic control means 12 in particular the water temperature determination step is achieved by comparing the measured temperature value with the reference temperature value in that manner the difference between the measured temperature value and the reference temperature value is determined this step is conducted by the comparison element 15 of the electronic control means 12 having determined this difference the value of the water temperature is determined in particular a corrective temperature value is determined to be added to a preset water temperature value this corrective value is calculated as a function of the value of said difference this step is conducted by.