In September 2024, the Council of Europe adopted a framework convention on artificial intelligence, human rights, democracy, and the rule of law. As the first global human rights treaty on AI with a broad material and territorial scope, the Convention represents a significant step toward addressing the transnational effects of AI, including its potential impact on health rights. This article argues that the Convention, in particular, introduces new procedural guarantees for patients under the jurisdiction of contracting states, thereby enhancing the effectiveness of their existing health rights. However, the drafters did not fully capitalize on the opportunity to adapt these rights to the digital context or adopt a transversal approach to human rights, including economic, social, and cultural rights. As a result, the Convention offers limited substantive added value in specifying health rights in the digital age.