Despite receiving increasing attention from academic scholars, there has yet to be a review study on the topic of Corporate Social Responsibility (CSR) practices in the textile and apparel (T&A) supply chains. To establish the field further, the purpose of this paper is twofold. First, it offers a literature review on CSR practices in supply chains and the core concerns of CSR in the textile and apparel supply chain to allow the mapping of practices. Second, it provides a conceptual framework to summarize the research in this field. Using review methodology, we reveal that labour and environmental issues are two outstanding CSR subjects and have received a lot of attention and requirements from buyers and other stakeholders in the textile and apparel industries. Other socially related aspects and the integration of the three dimensions of sustainability are still neglected. The study’s findings provide implications for academic scholars, policymakers, start-up owners, entrepreneurs, and practitioners.