This Insight will discuss the European Supervision Order (ESO) in the context of its nexus with the EAW. It will give an overview of the ESO, focussing on the issue of the ways in which breaches of an ESO may be addressed. The argument is advanced that the ESOs potential is currently untapped and that it has the ability to make the EAW procedure function more efficiently. This is done through a survey of Irish EAW case-law where the ESO could have been engaged. Finally, it will make suggestions for reform.