The topic of sustainable supply chain has become of great value for the community of researchers and practitioners. Supply chain professionals become not only cost managers, but they also had to manage relationships with key stakeholders. These latter are demanding that organizations address and manage the environmental and social issues which are impacted by their operations. Therefore, the aim of this paper is to understand the influence of stakeholders on the decision of adopting sustainability practices into the supply chain. We conduct a literature review, including content analysis, examining publications on sustainable supply chains published in English. We form the link between the institutional isomorphism as a driver for SSCM and its relation with stakeholders of the organization. The study draws on institutional theory and stakeholder theory in building its framework. We’ll conclude by discussing the limits and critics of this framework, while proposing future research directions.