Peer ratings of team member competence, or the extent to which fellow team members are perceived to be capable of contributing to a team, are an important predictor of team viability and success. Drawing on trait activation theory (Tett & Burnett, 2003), this study examines the influence of personality and psychological safety on peer ratings of teamwork competence, along with the mediating influence of objectively measured speaking time via path analysis. I hypothesized that a) speaking time would be positively related to peer perceptions of teamwork competence, b) the personality traits of extraversion, emotional stability, and conscientiousness as well as individual perceptions of team psychological safety would be positively related to both speaking time and peer perceptions of teamwork competence, and that c) these traits and attitudes would be indirectly related to peer perceptions of teamwork competence via speaking time. Data for this study came from student (110 individuals distributed across 21 teams) teams working on complex, open-ended team design projects over the course of the spring 2021 semester. This longitudinal dataset contained self-report and peer-report data, as well as objective speaking behaviors extracted from naturally occurring virtual team meetings. The results showed significant relationships between speaking time and teamwork competence and between psychological safety and teamwork competence. However, no significant indirect effects were found (e.g., the effect of personality and psychology safety on teamwork competence via speaking time). This study sheds light on the ways in which individual attitudes and behaviors influence how people are perceived in a team.