Sleeve Bag Neoprene

I want to keep my laptop safe, any good suggestions?
I just bought a laptop for school and since they are so expensive, I want to make sure I am keeping it as safe as possible.
I have bought a bookbag that has a padded area for laptop with elastic bands to keep it in place, but, I did not feel like that was secure enough so I bought a neoprene laptop sleeve to put it in first, then the bookbag.
Do you think this is safe enough?
Or, is it even too safe?
I just don’t want it to break!
I do not plan on putting heavy books in bag so it will not smash laptop.
Buy a metal case or thick leather case. The heavier, the better the protection (at least in most cases).
iPad Protection: Incase Neoprene Slip Sleeve Plus iPad Case