The socio-economic and productive strength of every nation is determined by the health (the physical, mental and psychological wellbeing) of its people. To guarantee this, the constitutions of some countries, including Nigeria, provide for the right to health, and have framed institutional and policy systems to operationalize and realize this goal, as one of the major objectives of governments. However, despite this great intention on paper, the realization of good healthcare for most of the citizens of this country is still a mirage, despite legal and policy interventions in the form of human rights. The question is, can a rights-based approach to healthcare facilitate or guarantee the realization of this normative claim through access to medical care? This article contends that mere legal and policy frameworks that guarantee the right to health do not automatically engender access to good medical care, as there are hurdles to cross beyond the “limit of available resources”.