Can the right to health, and particularly the core obligations of states specified under this right, assist in formulating and implementing universal health coverage (UHC), now included in the post-2015 Sustainable Development Goals? In this paper, we examine how core obligations under the right to health could lead to a version of UHC that is likely to advance equity and rights. We first address the affinity between the right to health and UHC as evinced through changing definitions of UHC and the health domains that UHC explicitly covers. We then engage with relevant interpretations of the right to health, including core obligations. We turn to analyze what core obligations might bring to UHC, particularly in defining what and who is covered. Finally, we acknowledge some of the risks associated with both UHC and core obligations and consider potential avenues for mitigating these risks.