Previous research has underlined the significance of practical wisdom pertaining to corporate sustainability. Recent studies, however, have identified managing opposing but interlocked tensions related to environmental, social, and economic aspects as one of the most crucial future challenges in CS. Therefore, we apply the established link between wisdom and sustainability to the pressing topic of managing tensions in CS. We commence with a literature overview of tensions in sustainability management, which manifests our basic work assumption concerning the need for practical (...) wisdom in CS. We then discuss the threefold, mutual interconnectedness between practical wisdom and tension management in CS, which we illustrate in a conceptual model. Thereafter, we develop a set of propositions on how a practical wisdom approach influences CS in practice and how it differs from a business-case approach. In recognition of the conceptual character of our paper, we conclude by outlining potential practical applications and theoretical implications of the model and of the propositions. Limitations and avenues for further research are discussed. (shrink)