Referring to failures in policy-driven public governance research this paper looks at strategising in higher education. It expands horizons for understanding university strategies in a more nuanced way than hitherto has been done. Deploying systems theory, it shows how different temporalities co-exist in strategies and how their change reflects the university's capacity to meet future contingencies. Extending the current research on strategising, the paper uses the present's past, the present's future, the future's present and the future's future as temporal categories to understand strategies. It shows how strategies evolve from traditional linear planning orientation to a novel potentiality-seeking mode with unique meanings attached to unknown futures. It claims that universities develop such responsive contingency awareness to construct a leeway for their self-governance in the face of unexpected future conditions. This change is characterised by the emergence of a potentialising organisation seeking to turn indeterminant futures into its developmental resources.