With the increasing integration of Generative AI tools in daily life and organizations, understanding their impact on employee behaviors and organizational outcomes becomes crucial. This paper introduces the construct of Generative AI Dependency (GAD) and examines how it influences employees' interpersonal interaction behaviors - specifically help-seeking and networking behaviors - and how these behaviors lead to changes in social capital within organizations. We also explore the moderating roles of organizational culture, job autonomy, reciprocity norms, and trust propensity. Based on a comprehensive theoretical framework, we propose that a higher GAD is associated with a significant decline in help-seeking behaviors and a slight reduction in networking behaviors, leading to diminished social capital. Furthermore, a supportive organizational culture and lower job autonomy are proposed to mitigate the negative effects of GAD on help-seeking, while strong reciprocity norms and high trust propensity among employees enhance the positive relationship between interpersonal interactions and social capital. We aim to provide actionable insights for managers to plan strategies to balance AI integration while fostering robust interpersonal relationships, thereby promoting organizational success in an AI-driven workplace. Some of the boundary conditions are also discussed.