The Anthropocene rupture refers to the beginning of our current geological epoch in which humans constitute a collective geological force that alters the trajectory of the Earth system. An increased engagement with this notion of a rupture has prompted a lively debate on the inherent anthropocentrism of International Relations (IR), and whether it is possible to transform it into something new that embraces diverse forms of existence, human as well as non-human. This article challenges that possibility. It shows how much of the current debate rests on the idea fulfilling future desirable ideals, which are pushed perpetually beyond a horizon of human thought, making them unreachable. As an alternative, the article turns to Jacques Derrida's understanding of the future to come (l'avenir), highlighting the significance of unpredictability and unexpected events. This understanding of the future shows how life within and of the international rests on encounters with the future as something radically other. On this basis, it is argued that responding to our current predicament should proceed not by seeking to fulfil future ideals but by encountering the future as incalculable and other, whose arrival represents an opportunity as much as a threat to established forms of international life.