I wouldn't recommend HIIT right after lifting. Cardio right after a workout is great if it's lower intensity, but keep HIIT to non-lifting days. This is actually mentioned in the book. It says that endurance training (aerobic exercise such as low intensity cardio) should not be combined with anaerobic training (weight training) because the former will prevail. The two ways they present to combat that problem are...1) to do steady state cardio PWO or 2) do HIIT on off days.
I am not finished with the book yet, but almost there, and I definitely remember reading that

. Can't wait to start.