Systems and methods are provided for controlling a vehicle system including an engine that is selectively shut-down during engine idle-stop conditions, the system further including a hydraulic circuit comprising a hydraulically actuated transmission component, an accumulator, and an auxiliary transmission fluid pump. One example method comprises, during a first idle-stop engine shut-down condition, where the accumulator pressure is above a threshold, delivering pressurized transmission fluid to the hydraulic circuit from the accumulator, while disabling the auxiliary pump. The method further comprises, during a second idle-stop engine shut-down condition, where the accumulator pressure is below the threshold, operating the auxiliary pump and delivering at least some pressurized transmission fluid to the hydraulic circuit from the operating pump without travelling through the accumulator.