In an industrial context, different industries today face several constraints in managing their supply chains, especially after the COVID-19 crisis, which has given rise to a new generation of industry known as ‘Industry 5.0’. This new era introduces several concepts and aspects within each supply chain that focus on key factors such as sustainability, resilience, and, most importantly, the centric human. Our study is based in a framework that aims to integrate sustainability into supply chain management to establish a sustainable approach to supply chain management. This framework is based on three dimensions aligned with the triple bottom line (TBL) perspective, namely ‘knowing’, ‘doing’, and ‘being’. Subsequently, we apply qualitative and exploratory research through an extensive literature review. Using the ‘doing’ and ‘being’ dimensions, we then develop a framework that represents a model for sustainable supply chain management. Additionally, we provide an application pathway for two types of industries. Copyright © 2026 Inderscience Enterprises Ltd.