We performed a systematic literature review to explore and understand how the 23‐year long debate about dynamic capabilities has addressed sustainability issues. Based on this, we propose a unifying framework that distinguishes different facets of dynamic capabilities for sustainability (DCsS) based on the different types of performance they are more suitable to predict. The theoretical contribution is twofold. First, we add to the literature by highlighting the dependence of different forms of DCsS on different levels of the centrality of sustainability outcomes in corporate strategies. Second, we shed light on the operationalizations of DCsS by providing guidance on the adoption of pertinent constructs and measurement models. The review concludes with a discussion of the managerial implications of the proposed conceptual framework to help decision makers better understand, which strategic moves to make to achieve their intended sustainability goals.