Definition of the problem Using the example of the emergence of antibiotic resistance, we show in the first part of our article that there are specific sustainability problems in medicine, which can ultimately lead to an impairment of the ability of future patients to satisfy their basic health needs and realize a flourishing life. Methods After clarification of the concept of sustainability in the second part, we explain why the possibility of satisfying basic health needs, for example, is considered a (...) condition for a good life within the framework of a capability approach. The concept of sustainability, as promoted by the United Nations, requires one to adequately consider the demands for a good life of future patients. Conclusion In the last part of the paper, we show that the orientation towards an idea of sustainability can lead to “sustainability dilemma” and we discuss how this can be dealt with. (shrink)