It might, but you might also consider a Slappa bag. They actually designed a few of their bags around larger laptops like the G73/G74 since they wouldn't fit in other manufacturer's bags. I picked up a Kiken with the Jedi Mind Trix flap a few months ago, and I can say for a fact it's freaking awesome. I have enough room to carry everything for my laptop and all of my desktop accessories and cables when I go to lan parties, not to mention tons of school books.
I haven't had experience with that Asus branded bag, but looking at it I doubt that the massive power supply the G53/G73's come with would fit in that front pocket. Probably not a bad gamble for 35 quid tho.