How long does it take to unlock a prestige skin?

So, I bought the pass that lets you complete missions for the tokens, and at 2200, you can get the 100 prestige points needed to have a fancy skin. But, a problem came up. I flamed my jungler a few days ago, and I got a 14 day ban, My account will be back on the 26th. I would really like to know how long it took other people to get their prestige skins, just so I know how much i'm going to have to play the game before June 2nd, which is when the tokens time out.

I have my eyes set on 's prestige skin atm. He's my main, and it would really suck to not be able to complete my skin collection for him.

Edit: I currently have 800. So i would need 1400 to grab the skin that I want.