A vane fluid pump for a vehicle component is provided with an inner rotor supported within a cam. The inner rotor has an outer wall extending between first and second end faces, the outer wall defining a series of slots spaced apart about the outer wall to provide a series of outer wall sections. One of the wall sections defines a groove. Another of the wall sections is independent of grooves or is ungrooved. The pump has vanes positioned within respective slots of the inner rotor and extending outwardly to contact the continuous inner wall of the cam. The groove on the inner rotor is configured fluidly couple with a notch on the housing to provide fluid flow to the discharge port from an upstream pumping chamber to disrupt harmonics during operation to reduce pressure ripples and associated tonal noise.