Previous research has shown negative effects of LPS for employees’ motivation, learning, and innovation processes. The principles of work design of production tasks within LPS are seemingly opposed to a work design that supports team’s engagement in workplace innovation. In this study, we explored relations between task complexity, team learning, and team innovation processes. Work task analysis was conducted at baseline among 41 teams to capture the complexity of different work tasks. Eight months later employees completed a questionnaire about team learning processes, and managers rated each team’s proactivity. Three kinds of tasks were identified. The results showed that the main work task and supplementary tasks gave no input to the team’s learning process. Mediation analysis showed that additional work tasks, taking little time, have an impact on team proactivity through team learning. Our conclusion is that teams within LPS can be engaged in workplace innovation depending on how they take on additional tasks, as these impact team learning. The implications for future research and practice are discussed.