Purpose Based on the Job Demands-Resources (JD-R) model, this paper aims to investigate the impact of team climate (TC) supporting trust, cohesion and innovativeness on knowledge management (KM) in teams through the mediating role of teamwork engagement (TWEG). Design/methodology/approach Data were collected from 246 employees working in Tunisian knowledge-intensive firms (KIFs) and involved in 69 service R&D teams. The authors applied the partial least squares-structural equation modeling approach for data analysis using SMART PLS 3.2 software. Findings Findings provide evidence that TWEG mediates the link between TC characterized by trust, cohesion and innovativeness and KM in teams. In the line of the JD-R model, results also show that such TC provides job resources to team members that act as vitamins nurturing TWEG, which in turn boosts KM in teams. Originality/value To shed light on the micro-level foundations of KM, this paper enriches the KM literature through pioneering the examination of the effect of TC on KM in teams. It proposes an extension of the JD-R model through highlighting the TWEG’s mediating role in the motivational pathway leading teams to invest in KM activities under a supportive TC. It provides key insights into the importance for managers to implement team-oriented policies toward cultivating trust, innovativeness and cohesion within teams to create more dedicated, vigorous and absorbed teams in which intrinsically motivated knowledge workers are likely to collectively engage in KM activities.