A water-bearing household appliance such as a dish washing machine or washing machine is provided that has a water supply system, an electrically operable electromagnetic water inlet valve for controlling the water supply, and a control unit operating a control program that controls the water inlet valve. The water inlet valve is controlled for a first time period and it is determined when the first time period is complete whether a predetermined test amount of water has flowed through the water inlet valve. If a predetermined test amount of water has flowed through the water inlet valve, the water inlet valve is operated in a first operation mode. On the other hand, if less than the predetermined test amount of water has flowed through the water inlet valve, the water inlet valve is operated in a second operation mode with a reduced long-term load.