During collaborative small group problem-solving, a group member with a minority perspective has a notable influence on the majority's perspective. However, the type of interactions with such a member could influence a stalemate, and the relationships between internal and task conflicts and the convergence process remain unclear. This study comprised two experiments focusing on the influence of minorities who act as "newcomers" among 231 university psychology majors. Using multiple conversational agents as the experimental tools, Experiment 1 revealed that a newcomer who presents a new perspective promotes the majority's perspective change, compared to when such a member has been in the group from the beginning. Experiment 2 demonstrated that such an effect occurs when most of the internal conflict and the task phase facilitated the newcomers' influence. The findings indicated that the minority member advantage increases when they are a newcomer; thus, they have a stronger influence on the perspective-taking process. The same effect occurs when the newcomer intervenes in majority task conflicts and internal cognitive loads. Thus, this study provides new implications for research on minority influence in laboratory experiments using virtual agents for small-group studies.