A system and method is provided for performing a phase-contrast imaging process to generate an image of a subject using a magnetic resonance imaging (MRI) system. With the MRI system, a set of reference projections of a subject is acquired having both stationary spins and non-stationary spins and a set of velocity-sensitive projections is acquired from the ROI that is encoded to be velocity sensitive along multiple directions per readout. For each projection of the set of velocity-sensitive projections, directional velocity components are determined and a phase-contrast image of the ROI is generated using the set of reference projections, the set of velocity-sensitive projections, and the directional velocity components.