To effectively support users’ goal achievement in chat-LLM services, providing user-centered follow-up questions is essential. Existing studies primarily focus on enhancing information-seeking or topical relevance, often missing how follow-up questions could satisfy users’ intrinsic needs and conversational goals. To bridge this gap, we introduce FQ-Eval, a user-centered evaluation dataset designed for assessing follow-up question generation in chat-LLM services. FQ-Eval incorporates realistic chat-LLM usage scenarios and five distinct human-aligned criteria, each reflecting user expectations of effective follow-up questions. Experimental results show that FQ-Eval constructed through our approach clearly capture human-aligned criteria, enabling robust, human-aligned follow-up question generation evaluation of various models and services.