Career adaptability (CA) is promoted as a skill to navigate the 21st-century labour market. With an emphasis on narrative career counselling as a more relevant form of practice for supporting the career development of people in such rapidly shifting times, it is important to explore the possibility of facilitating a narrative space through which people can tell and connect with their stories of career adaptability. Various qualitative career assessment instruments promote storytelling facilitation which is a major task of narrative career counselling. The Integrative Structured Interview (ISI) is one such qualitative career assessment instrument that facilitates systemic and context-sensitive career storytelling through the integration of quantitative and qualitative career assessments. This study explores the potential role of the ISI in assisting Australian undergraduate students to tell career stories in which the five dimensions of career adaptability can manifest. A theory-driven deductive thematic analysis based on the five dimensions of career adaptability informed data analysis. Key findings reveal the ISI can assist participants in telling stories of career adaptability. Findings also highlight the ISI’s role in providing participants with a systemic and context-sensitive understanding of their career interests through a systemic deconstruction of their Holland code.