Quantitative imaging of magnetization transfer (MT) may enable non-contrast assessment of myocardial scar and fibrosis. However, its application at 3T has so far been limited. In this work we investigate an inversion recovery based method for joint quantification of T1 and MT maps. A numerical binary spin-bath model is used to account for incomplete bound pool saturation in the presence of limited preparation durations. In vivo images were obtained with high visual map quality for both T1 and MT quantification, and comparable, low CoV across the two parameters (T1: 5.5+-0.6% and MT: 5.8+-0.9%).