This paper explores the integration of Artificial Intelligence (AI) into workplace teams and its influence on interpersonal dynamics. Drawing on Marks et al.'s (2001) team processes framework, we examine how AI influences interpersonal processes like conflict management, motivation, and affect management. Findings suggest that while AI can enhance objectivity, motivation, and efficiency, it may also introduce new tensions and anxieties about job security. We critically analyze both the opportunities and risks associated with AI integration, including the role of trust and individual perceptions. To address gaps in existing research, we outline a qualitative research agenda exploring the nature and distribution of interpersonal processes in human-AI teams. Preliminary interviews reveal that AI has strong motivational potential, though emotional responses vary, with some team members expressing fears and differing adaptation speeds.