Sustainable innovation is the cornerstone of economic growth and development of regions and nations, as well as of organizational competitiveness and success. Innovation is a complex process that relies on individuals and often implies social activities based on interaction with others. Higher Education (HE) is expected to prepare innovative and teamwork-competent individuals. However, it has been noted that, so far, HE has not really addressed the question of how to train innovative college students capable of working in teams. To face such challenges, incorporating active teaching and learning methodologies, such as game-based learning (GBL), could be of great utility, as well as conducting much more research about the effect of teamwork-related factors on IWB, such as teamwork engagement (TWE) and teambuilding (TB). Under this background, our aim was to test the predictor effect of teamwork competence (TWE) on IWB, exploring the moderating role of TWE and TB in a sample comprising 142 college students of Health Sciences and Social Work. Our obtained results, through a multiple additive moderation analysis, showed that TWC positively predicted IWB. Moreover, this effect was moderated by TWE and TB. Therefore, these findings set light around how to foster IWB in HE.