Although artificial intelligence contributes to the improvement of health care systems, it also raises issues of accessibility without discrimination to health services, which is an essential element of the human right to health. Several international and European treaties, including the International Covenant on Economic, Social and Cultural Rights, protect the right to health. As a contracting state of this Covenant, Denmark is bound by its content. Danish’s highly digitalized public sector, including health care, must therefore be assessed regarding the right to health, especially accessibility to everyone. We argue that digitalization is generally compatible with information accessibility in the Danish context. However, the country will need to be attentive to the situation of its vulnerable populations in order to avoid the propagation of bias and discrimination by artificial intelligence-driven health care. A transparent and safeguarded use of real-world data and data disaggregation may contribute to mitigate those risks.