A time window is a limited period after an event initially occurs in which additional information can be integrated with the memory of that event. It shuts when the memory is forgotten. The time window hypothesis holds that the impact of a manipulation at different points within the time window is nonuniform. In two operant conditioning experiments with 68 3-month-old human infants, we tested the predictive validity of the nonuniformity principle for reinstatement--a partial training trial that forestalls forgetting. After demonstrating that 3-month-olds forget the training task after 5 days (Experiment 1), we presented a reinstatement early (immediately), midway (3 days), or late (5 days) in the time window (Experiment 2). Retention increased exponentially with the reinstatement delay. The surprising magnitude of this result, plus its generality across tasks and species, strongly suggests that the timing of reinstatement differentially affects the outcomes of studies on learning and memory.