Yes / Purpose. This viewpoint paper addresses the use of sustainability frameworks in embedding education for sustainability into the curriculum of Higher Education Institutions (HEIs). We focus on the paradox that sustainability frameworks must facilitate transformation of existing structures whilst also being well-enough aligned with current conditions to be readily adopted by today’s HEIs. Design/methodology/approach. We propose a set of four criteria for assessing the suitability of sustainability frameworks for use across the curriculum: Relevance to Current Curricula; Language; Institutional Fit; and Concept of the Future. Using these criteria, we assess how various frameworks align with the current (unsustainable) state of affairs, and their transformative potential. The frameworks assessed are: the Sustainable Development Goals (SDGs); the Three Pillars Framework; and the Capitals Approach. Findings. We find that each of the frameworks has strengths and weaknesses: the SDGs and the Capitals Approach perform well on alignment, but less well on transformation. Conversely, the Three Pillars Framework perform well on transformation and less well on alignment. By applying the criteria set out in this paper, we hope those working to embed sustainability into the curricula of HEIs will be better equipped to navigate the tensions presented by sustainability transitions. Originality. Using a novel set of criteria for assessing sustainability frameworks, this paper provides guidance that was previously lacking to education for sustainability professionals who are attempting to embed sustainability into the curriculum at HEIs. / The financial support of the UK Economic and Social Research Council for the Centre for the Understanding of Sustainable Prosperity (CUSP) (ESRC grant no: ES/M010163/1) is gratefully acknowledged.