The post-1980s changes in the global higher education landscape have triggered a burgeoning of incidents of academic corruption in higher education institutions. Since 2000, the discourse on how to combat academic corruption has gained traction in higher education and quality assurance is advanced as one of the strategies for fighting corruption in higher education. In 2016, the United Nations Educational, Scientific, and Cultural Organization (and the Council for Higher Education Accreditation) issued a "wakeup call" to quality assurance systems to take up a leading role in the battle against academic corruption in view of the massive societal risks associated with the vice. However, there is a dearth of empirical and conceptual studies on how the quality assurance systems, in general, and external quality assurance systems, in particular, can take up a leading role in the crusade against academic corruption. This conceptual article, using the crime-- punishment model as an analytical lens, discusses how the national quality assurance agencies (and systems) can exercise the leadership role in combating academic corruption. The article advances the setting of academic integrity standards, institutional and program accreditation, accreditation of academic journals, sharing information and promoting whistleblowing, monitoring of institutions, applying sanctions, and ranking of higher education institutions on the basis of integrity indicators as options that are available to quality assurance agencies to exercise their leadership role in combating academic corruption. These approaches are likely to create both incentives and disincentives for the higher education institutions and staff in connection with engaging in academic corruption. Nevertheless, the article takes cognizance of the idea that external quality assurance is necessary but not sufficient in combating corruption at the academy level.