The starting point of this paper is the dichotomy in repeated games between finite horizon games with a commonly known ending time and infinite horizon games where the ending time is unknown. We study an environment in between where players privately know a deadline at which the game must end at the latest. Our main result shows that cooperation can be sustained even when there is a strong correlation between the private deadline, i.e., when the informational environment is arbitrarily close to the common knowledge of the ending time. The leading application is collaboration in a partnership before dissolution, in which we ask if cooperation can be sustained when both partners know that the relationship is going to break down.