Major events and crises are becoming increasingly complex. In addition, emerging risk such as cyber risks, social engineering, social exclusion, must be addressed. On the other hand, we see that Business Continuity Plan protocols have changed little over time. They are based on logistical approaches that are mainly concerned with "physical" crisis management. In this paper, we want to emphasize the lack of scientific knowledge about the rules of composition of crisis teams and that a crisis team today has to deal with unforeseen crisis situations. In a recent research based on a qualitative survey of crisis experts and specialists, we developed the thesis that the constitution of crisis teams includes members that have very different experience profiles and furthermore not come from senior management positions. The reason for this is that most of these teams have to operate on an improvised basis today due to the complexity of modern crises. It is thus then important to set up an appropriate training and preparation phase once the crisis team is constituted. In this article, based on our field research and theory building we propose an original approach, adapted from Nonaka's SECI (Socialization, Externalization, Combination, Internationalization) model, to prepare the crisis team for better improvisation.