Based on ethnographic fieldwork among Burundian refugees living clandestinely in Nairobi and living in a refugee camp in Tanzania, the article argues that displacement can be about staying out of place in order to find a place in the world in the future. I suggest that the term displacement describes this sense of not only being out of place but also being en route to a future. Burundians in the camp and the city are doing their best to remain out of place, in transition between a lost past and a future yet to come, and the temporary nature of their sojourn is maintained in everyday practices. Such everyday practices are policed by powerful actors in the camp and are ingrained in practices of self-discipline in Nairobi. Comparing the two settings demonstrates that remaining out of place can take on different forms, according to context.