Cardiac MR-Elastography has significant potential to provide a non-invasive measure of myocardial tissue health. A core challenge in its application is the substantial motion of the heart over the cardiac cycle, which introduces a bias in the quantified apparent stiffness. In this work we apply a reconstruction technique for MRE designed to correct changes in apparent stiffness due to deformation. The reconstruction method is tested on anatomically accurate homogeneous and heterogeneous heart phantoms that are inflated to mimic diastolic function. The results demonstrate the ability of the reconstruction technique to retrieve intrinsic stiffness values, even under substantial inflation.