Unpredictability and time scarcity are determining factors of contemporary organizational life. In such contexts, teams often resort to adaptation and/or improvisation. Considering these two processes, teams can adopt three alternatives: adapt without improvising, that is, teams adapt with time to plan the new action before implementing it; improvise without adapting, which means that they improvise exclusively driven by their will, without any disruption having led them to do so; and adapt by improvising a solution, which implies the temporal merger of design and execution. However, the literature has generally neglected the differences between these three processes. Building on the literature of team adaptation and team improvisation, we propose the team improv-adapt framework comprising the processes of team preemptive adaptation, team purposive improvisation, and team improvised adaptation. In addition, we develop a time-informed conceptual model that helps to understand how teams can effectively engage in different processes that require team or task adjustments. In particular, we focus on the different phases that teams go through over time, when they adopt the different processes of the framework. We also analyze the specific team processes that are adopted in each of the phases, as well as the different leadership sources and coordination mechanisms used. By acknowledging the defining nature of time in team processes, and exploring the temporal stream of team improvisation and team adaptation, we expand both literatures, increasing construct clarity and extending their nomological network.