A method for operating a laundry washing machine (100; 300) having a controllable dosing device (120; 191) suitable to supply water from an external water supply line (E) into a container (110; 172) and a metering device (125; 192) arranged between the external water supply line (E) and the container (110; 172) for determining the amount of water flowing through the dosing device (120; 191). The method measures the surplus water flowing through the dosing device (120; 191) after deactivation of the latter in a first water conveying step for conveying a first amount of water from the external water supply line (E) into the container (110; 172) and controls the supply of water in a further water conveying step taking in account the surplus water previously measured.