@Bruisername
It definitely will - my laptop is 15.6 inch and fits easily. I can also get an A4 notepad and a slim waterbottle in. Plus keys, bits of makeup, tissues etc. It has lots of pockets which are very useful for bits. I generally don't take an actual handbag with me. It has over the shoulder straps and a long, adjustable crossbody strap too.
As a brand, I've found them great. I also have one of their expanding travel bags that I use for going backwards and forwards from my boyfriends house. It's so light, but really strong.