The coronavirus disease 2019 (COVID-19) will continue to have a significant impact on the way we live for at least the next few years until the scale-up of production and administration of an effective vaccine. Unfortunately, this will not be the last pandemic of infectious diseases the world will experience, and the next one may have more devastating consequences in Africa than COVID-19, unless critical lessons for the future are learnt now for more rapid and robust containment measures. Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the viral cause of COVID-19, is thought to have been introduced into the continent by returning travellers from hotspots in Asia, Europe and America. In a pandemic with Africa having relatively lower morbidity and mortality, it is alarming that in about five months since confirmation of the continent's first case of COVID-19 in Egypt on February 14th, 2020, the infection rate remains at an exponential phase with forty-seven African countries reporting a total of 766,803 cases, 13,191 deaths and 486,925 recoveries as at 31st July, 2020; out of which Nigeria reported 42,689 cases, 878 deaths and 19,290 recoveries, with Lagos State accounting for close to half of all cases in Nigeria. Importantly, lessons learnt during the Ebola epidemic have had a significant impact on Nigeria's COVID-19 response. In this article, we discuss Nigeria's response, health system preparedness and the lessons that are critical for containment of future outbreaks, epidemics or pandemics of any infectious disease in Africa.