An automatic transmission system includes a transmission having transmission elements with lubrication-requiring portions and hydraulic actuators therefor, a switching valve that supplies hydraulic fluid to the hydraulic actuators, a valve actuator that actuates the switching valve, a shift range detection unit that detects a selected shift range of the transmission, and a control unit that controls the valve actuator to actuate the switching valve in accordance with the selected transmission shift range. The switching valve has a bypass position to provide a supply of the hydraulic fluid to the lubrication-requiring portions by bypassing a transmission oil cooler. The control unit judges whether the transmission is in a low lubrication state based on a given operating parameter of the transmission and controls the valve actuator to switch the switching valve to the bypass position at the time the transmission is judged as being in the low lubrication state.