The invention relates to a method for preparing drinks by supplying hot water for a hot drinks dispenser by means of a liquid transport circuit (2) comprising a heating element (8) provided with a heating resistance, and a pump (14). According to the invention, once a control means (7) has been actuated by a user, a liquid is heated by feeding the heating resistance at a pre-defined average electrical power, the heating of the liquid is maintained, and as soon as the measured temperature is higher than a first pre-determined temperature threshold, the liquid is circulated in the heating element (8), at a constant nominal rate of between 0.5 and 1.5 cl/second, and the average electrical power of the heating resistance (12) is such that the ratio of said power expressed in Watts divided by the nominal rate in centiliters per second is higher than 2000.