In one aspect, an example method includes (i) receiving, by a computing system, a portion of a first media program being distributed on a channel, wherein the distribution of the first media program on the channel is scheduled to end at an end-time, and wherein a distribution of a second media program on the channel is scheduled to start at a start-time that corresponds with the scheduled end-time; (ii) predicting, by the computing system, that the distribution of the first media program on the channel will end later than the scheduled end-time; and (iii) responsive at least to the predicting, (a) retrieving, by the computing system, from a source other than the channel, a portion of the second media program, and (b) after the scheduled start-time, outputting, by the computing system, the retrieved portion of the second media program.