The exhortation to innovate is a pervasive one that occupies a central position across university mission statements, strategic plans, marketing literature and job titles. This article locates a discourse of innovation within a history of Australian federal higher education policy, a history that may bear similarity with other national contexts. The article names this discourse as an "innovation talk" that influences our teaching and learning practices, a discourse that can be reconfigured in a way that opens up the possibility for change. As such, the article presents an analytical process used to resist taken-for-granted views of what constitutes valuable teaching practices. Suggestions for re-conceptualising how universities govern and support teaching and learning innovation are drawn from analysis of key federal policies that have influenced university practices in recent years.