About 41 million people die of chronic non-communicable diseases (CNCDs) each year, accounting for 71% of all global deaths. The high prevalence of CNCDs is particularly problematic for sub-Saharan Africa (SSA) since CNCDs are already a major cause of mortality in the sub-region. While the case fatality rate of COVID-19 is quite low, it is worth noting that people with underlying CNCDs constitute the majority of those who die from this virus. Underpinned by the chronic care model (CCM), we present a commentary on the implications of COVID-19 for the management of CNCDs in SSA. We realized that despite the World Health Organisation’s guidelines for countries to maintain essential services while putting necessary measures in place to prevent and control the spread of COVID-19, myriad of health systems and community-level factors militate against effective management of the CNCDs in SSA. This results in disruptions in management of the conditions as well as possible long-term effects such as the deterioration of the health status of CNCD patients and even deaths. Without immediate interventions to salvage the status quo, SSA countries may not be able to achieve the Sustainable Development Goal 3.4 target of reducing by one-third, premature mortality from CNCDs by the year 2030. We recommend that financial constraints could be ameliorated through short- and long-term loan facilities from the International Monetary Fund and the World Bank to augment national efforts at strengthening health systems while combating COVID-19. We also recommend increased community engagement and public education by COVID-19 response teams to enhance community support for persons living with CNCDs and to reduce social stigmatization.