It's pretty common sense: If you enter into a glycogen deficit by a significant enough amount, then eat foods that either take enough time to digest, the body will continue converting as much fat as possible into glycogen.
For most people that are in OK shape, given a decent dinner and enough sleep, the next morning it will take at least 60 minutes or vigorous activity to deplete the glycogen in your muscles and a fair amount stored in your liver (the deficit I was talking about). The more in shape you are, the more glycogen is stored in your body, so the more time/intensity it will take you to get to that point.
Keep in mind I'm not talking about bonking, where the body is literally almost completely exhausted of all glycogen (which, if anyone has ever really bonked to the literal meaning, is a very, very unpleasant experience).
After you've created the deficit, if throughout the day you're eating foods that take a long time to convert to glycogen, then yes, the body will also be simultaneously converting fat to replenish the stores. If, however, you go and drink twelve Big Gulps right after working out, you're body can more easily convert all those sugars into glycogen with almost no effort, so it does. No ongoing fat burn for you.
It's all about exercising, then eating right.