Purpose: This paper aims to present the progress of the implementation of sustainability in business schools in line with the United Nations Principles for Responsible Management Education (PRME) and its principles of responsible management education. Design/methodology/approach: By analyzing the content of the Sharing of Information on Progress reports from PRME signatories, this study identified significant developments in the strategies business school use to implement sustainability. However, it seems that a framework that business schools can apply to accomplish that goal is still lacking. This paper proposes a framework that addresses four components of the integration process and stresses the important role of stakeholders. The authors discuss the results from 2021 in comparison to the results of a previous analysis of the first 100 signatories from 2010 and analyze the findings in relation to the developed framework. Findings: This study shows that business schools have improved their sustainability engagement in many areas (e.g. education offerings and teaching methods, campus practices and engaging stakeholders). However, less attention has been paid to other aspects, such as reviewing and assessing, capability development or communication, which could slow the transformation process. The authors discuss further implications of the findings for enhancing the PRME signatories' ability to implement the underrecognized aspects. Originality/value: While the analysis focuses on the status and progress of the integration of PRME within business schools during the past decade, the framework may enable higher education institutions to analyze their potential to implement change and plan future transformation strategies.