Fashion firms have transferred their manufacturing processes to Asia, seeking minimum labor costs, supported by the academic literature’s proposals for alternative supply chain configurations to maximize profits. Fashion industry has undergone public analysis, facing demands for greater transparency about environmental and social sustainability. The growing public awareness of sustainability issues has led firms to declare their commitment to sustainable resources, but few changes have been registered. United Nations Economic Commission for Europe listed technological innovation as a key tool for making the fashion industry transparent and traceable regarding sustainability and circularity. The research and responsible innovation framework indicate appropriate ways to manage innovation from a responsible and ethical perspective, according to ethical corporate behaviour (ECB), particularly in the industries characterized by productive phases processed in more countries, such as the fashion industry. However, the linkages between responsible innovation, ECB towards innovative and sustainable business models, and their conceptualization, are still unclear in the fashion industry, achieving the goals included in the UN 2030 Agenda. This study draws on bibliometric analysis and systematic review of the literature on 114 articles published between 1990 and 2021 allows to identify the above issues in the research domains, and outline the evolutionary trajectories, as well as to explore the literary corpus about responsible innovation (RI) in the ethical corporate behaviour (ECB) of the fashion industry and its Asian suppliers. The results highlight that fashion brands strive to develop RI and ECB along their supply chain. Still, the misalignment of corporate ethics and cultural values represents a significant obstacle to the adoption of business models, especially to achieve the goals of UN 2030 Agenda. To the best of our knowledge, this is the first study that discusses RI as enabling driver in the ECB for fashion companies also defining a future research agenda including RI, ECB, iSBMs towards SDGs.