The ongoing covid-19 pandemic has prompted discussions, both politically and analytically, that frame its security problematic as an infrastructural dilemma that unfolds between the public health-related need for interrupting the movement of people and calls to keep economic processes of production, distribution and consumption going. Moving beyond this diagnosis, we argue that infrastructural responses to the crisis in the European Union have resulted in the creation and invocation of economic and socio-material assemblages that are expected to steer societies through the crisis, which we term ‘safe assemblages’. In empirical terms, we discuss the cases of the creation of economic emergency funds which we view as economic assemblages that guarantee payment connectivity for struggling businesses, and of the invocation of the ‘home’ as an assemblage that minimises contagion risks while maintaining social connectivity through digital means. In theoretical terms, we suggest expanding current theorisations of the role of circulation in security infrastructures, referring to Foucault, by a consideration of assemblages as a third component that mediates the relationship between circulation and its interruption.