The invention relates to a motor vehicle and to a method for supplying at least one fuel cell of a fuel cell system of the motor vehicle with fuel. The method comprises the steps: a) determining or forecasting an indicative value which is indicative of the real and/or possible fuel removal mass flow from a pressurized container system of the motor vehicle; and b) closing at least one tank shut-offvalve when the indicative value is equal to or falls below a limiting value.