Phase-contrast (PC) MRI requires at least doubled scan time compared to anatomical imaging. This has required careful trade-offs regarding spatial and temporal resolution, and breath-holding times, and often the temporal or spatial resolution is insufficient. Here we introduce a simple novel method which temporally under-samples acquisition of the phase-reference images, providing increased temporal resolution. This method is evaluated both in the aortic and pulmonary vein flow, which exhibits several rapid flow peaks requiring good spatial resolution. This method allowed to accurately identify velocity peaks for the aorta and pulmonary veins, providing higher temporal resolution as compared to the standard PC-MRI.