This study explores how higher mathematics education can be reoriented towards greater sustainability, thereby better preparing students to meet the challenges of the future and supporting their sustainable employability. An interpretative phenomenological analysis was conducted to explore the lived experiences of university mathematics teachers (N = 6) integrating sustainability principles into their teaching practice. Data were collected through interviews, which revealed five thematic areas: responsibility for contributing to a sustainable future, pedagogical contradictions, ways of promoting sustainability, finding community and transdisciplinarity. These themes formed the basis of strategic principles including multi-level integration, methodological and content support, professional community development and transdisciplinarity embedded in a non-linear, cyclical implementation model. Results show that effective integration requires a combination of individual motivation with systemic institutional support, access to structured resources, and collaboration across institutions and disciplines. The proposed framework not only aligns mathematics education with the Sustainable Development Goals (SDGs) but also enhances students’ ability to apply mathematical tools to solve complex real-world problems, contributing to their long-term professional sustainability and adaptation to different educational contexts.