Abstract: A system for supplying a regulatable inflow fitting, a vehicle with such a system, and a method for filling such a system. The system for supplying the regulatable inflow fitting with temperature-controlled water includes a cold water feed, a water heater, a bypass line and a mixing valve. At an input side, the water heater is connected to the cold water feed. At an output side, the water heater is connected to a hot water inlet of the mixing valve. The bypass line directly connects the cold water feed to a cold water inlet of the mixing valve. The mixing valve is connected at the output side to the inflow fitting and is configured to provide temperature-controlled water depending on a valve position. A flow element is integrated in the bypass line that at least temporarily at least limits a flow rate through the bypass line.