Climate change causes ever more natural hazards. In such crisis situations, individuals seek for information about the situations constantly. Due to its ever-growing relevancy in the everyday life, social media are increasingly used to seek and discuss crisis-related information. Social media platforms offer the possibility to deploy social bots (i.e., automated user accounts) that are partly credited to be used for malicious purposes but also considered useful by emergency management agencies (EMAs) to disseminate situational updates and information. Many tasks for which EMAs employ social bots rely on the publication of information in textual form. Recent advancements of generative artificial intelligence (GenAI) offer means to generate texts, images, and videos automatically. Therefore, we explore how social bots can benefit from GenAI in crisis communication. To this end, we conduct a systematic literature review and offer a research agenda to guide future endeavours.