However, this is balancing on the razor's edge in that you could cannibalize some muscle tissue in the process; chug a pure protein drink (no carbs) and a fistful of fish oil capsules before you leave for the gym to prevent this.
2
Instead, you'll cannibalize muscle mass, which in turn reduces your metabolism (i.e. the calories you burn around the clock just to stay alive).
3
The weight training will keep your muscles stimulated and make sure you don't cannibalize your muscle mass while cutting calories, and may even boost your metabolism -- meaning you'll burn more calories even as you sleep.