This work presents an automatic inline method for correction of background phase errors in 2D PC MRI. Flow images were automatically processed during image reconstruction for background phase correction. Uncorrected and corrected images were compared qualitatively and quantitatively. Quantitative flow measurements were performed by two experienced observers using a fully-manual method and a semi-automated method. Mean Qp/Qs of the patient cohort was used as a metric to evaluate the proposed second order background phase correction method.