This article begins by clarifying and noting various limitations on the universal reach of the human right to health care under positive international law. It then argues that irrespective of the human right to health care established by positive international law, any system of positive international law capable of generating legal duties with prima facie moral force necessarily presupposes a universal moral human right to health care. But the language used in contemporary human rights documents or human rights advocacy is not a good guide to the content of this rather more modest universal moral human right to health care. The conclusion reached is that when addressing issues of justice as they inevitably arise with respect to health policy and health care, both within and between states, there is typically little to gain and much to risk by framing deliberation in terms of the human right to health care.