Based on contradictory arguments about whether the frequency of the interactions between team managers and the teams they manage is positive or negative for teams, we hypothesize a curvilinear relationship. Focusing on positive team mood and based on the leadership literature and the conservation of resources theory, we hypothesize an inverted‐U‐shaped relationship. In addition, adding arguments from the substitutes for leadership theory, we propose that this curvilinear relationship is moderated by team potency and tenure. Hypotheses were tested using panel data collected in a sample of 55 work teams by means of hierarchical non‐lineal regression. Results show that, as expected, the relationship between the frequency of the interactions and positive team mood was curvilinear and moderated by team potency and team tenure. As expected, the curve became increasingly convex downward as team tenure increased. However, for team potency, the results were contrary to what was expected. The results have important implications for planning the frequency of managers’ interactions with their teams, and they indicate the importance of considering team tenure and potency as contextual moderators.