Because we work in teams more than ever, we should craft them fostering team members' motivation, wellbeing, and performance. To that aim, we propose a multi-level model explaining the emergence of team burnout, articulating the interplay between individual and team level mechanisms around ten empirically testable research propositions. Drawing from the JD-R theory, we formulated an emergence model of team burnout by combining team effectiveness and occupational health literatures. Our model explains how cycles of attention, information integration, and information-affect sharing on burnout cues foster the emergence of team burnout. It also explains how team burnout moderates the relationship between team structural variables and team members' burnout and how team burnout impairs team effectiveness through co-regulatory mechanisms. This model is timely because it addresses the importance of team burnout through a systematic effort connecting individual and team levels in explaining its emergence and the mechanisms through which it impairs team effectiveness.