RF-spoiling is employed in order to reduce transverse coherences. While spoiling angles are typically optimized for contrast, efficacy for bias-free phase-contrast measurements is yet to be proven. Here, we investigate the influence of the RF-spoiling angle on displacement estimates in fast GRE-MR Elastography sequences using Extended Phase Graph simulations. Theoretical findings are validated using a novel RF-spoiling test sequence as well as conventional MRE phantom experiments. An optimal spoiling angle of 158° degrees is identified allowing for bias-free MRE acquisitions at repetition times as low as 5ms.