Of course it will. To be on the safe side, get it xrayed. How do you know it isn't broken?
I did the same to my thumb last year (unfortunately I had absolutely no idea how it happened, i was drunk). After about 4 days it was still swollen and I couldn't use it so I phoned NHS Direct who advised me to go to our local 'Walk In' centre who gave me an xray. It wasn't broken, they just strapped it up and advised that it was going to be swollen for a while.
The swelling went comletely after about 2 weeks but it still hurt for a good few months after.