A method for an engine may comprise, responsive to a first condition comprising a reference voltage of a first exhaust oxygen sensor operating in variable voltage mode increasing above a threshold voltage, determining a change in an output of the first exhaust oxygen sensor corresponding to the increase in the reference voltage, correcting the output of the first oxygen sensor based on the output change, and adjusting engine operation based on the corrected output. In this way, the accuracy of air-fuel estimates based on the exhaust gas sensor can be preserved, and closed loop fuel control of the engine can be maintained even when the exhaust oxygen sensor is operating VVS mode, thereby reducing engine emissions, increasing fuel economy, and increasing vehicle drivability.