The sleeve is very snug. The material is a pretty thick feeling to it so I feel safe having it in it. I hadn't taken the plastic protector off the top of the chromebook until this arrived. Here are some images to give a better idea of how snug it is, The chromebook does not stick out at all but you can see it while it is inside the case.
I love my chromebook, I have other pcs so this has mainly turned into a web laptop for me but I'm able to accomplish everything that I would do normally on a pc besides gaming and web development stuff. I'm still playing with apps for web stuff though.
the chrome should jsut do fine for a weblaptop and quick docs on the the go! but the case looks really nice actually and looks very snug... unlike the psp cases at first where it felt like they were going to pop' like a pizza pocket! lol