Not sure exactly how it compares to the furio's box but iirc the 1.1 & vts box have very similar ratios (if not the same) from 1st to 4th & these are the closest ratio boxes which should help you get through the gears quicker.
However each of the engines have different powerbands and make peak torque at different rpm so since the box is directly suited to the car you might not see any gain atall. Also you could lose time on things like quartermile runs due to the car falling out of its powerband on changes or just having too many gear changes. I think the final drive on the 1.1 box will be shorter than your current one too so you might find your able to hit the limiter in your top gear (on a private track blah blah)
It will certainly fit though, better waiting on one of the boffins or someone with a 1.1 box on their furio to confirm about the accelleration though