Supply chains constantly face new problems that go way beyond the traditional issues of supply and demand uncertainty, particularly due to the impact of worldwide disruptive events. This paper aims at mapping academic literature examining so far issues related to the impact on supply chains of the COVID-19 outbreak based on a thorough literature review of peer-reviewed papers published in 2020. Following criteria established by the systematic approach, we build a framework based on the most recent papers of the discipline to address major disruptions that challenge SCM operations. We consider features from individual organisations, characteristics of the whole supply chain, performance metrics for long-term sustainability, and attributes from external disruptions. We derive a list of topics that deserve further investigation such as collaboration, technology adoption and knowledge creation together with their diffusion, strategies to shape and promote awareness along supply chain stakeholders.