Numerous scholars in the social sciences and humanities have speedily analysed and interpreted the COVID-19-induced social and political crisis. While the commitment to address an urgent topic is to be appreciated, this article suggests that the combination of confidence in the applicability of one's tools and belief in the certainty of the available knowledge can be counter-productive in the face of a phenomenon that in significant respects is unprecedented. Starting out from the plurality of forms of knowledge that are mobilized to analyse COVID-19 and its consequences as well as the lack of any clearly hegemonic knowledge, the article tries to understand how a limited convergence in the politico-medical responses to the crisis emerged, and speculates on what would have happened if this had not been the case. In conclusion, it is argued that this pandemic demands a greater awareness of the uncertainty of our knowledge and of the consequences of our actions, both in terms of being situated in time and of aiming at timeliness.