An oxygen sensor system for a vehicle includes a pump control module, a correction module, and a fuel control module. While fueling of an engine is cut off, the pump control module selectively turns ON an air pump that pumps ambient air into an exhaust system of the vehicle upstream of a universal exhaust gas oxygen (UEGO) sensor and a catalyst. The correction module receives an output of the UEGO sensor, selectively determines a correction for the output of the UEGO sensor when the air pump is ON and the fuel is cut off, and adjusts the output of the UEGO sensor based on the correction to produce a corrected output. The fuel control module, during fueling of the engine, selectively controls the fueling based on the corrected output.