Is there a downside to wearing basketball shoes to the gym for working out?

I have a pair of basketball shoes but I don't play basketball anymore.. I've joined a gym where I'll just be running on a treadmill and lifting weights and stuff like that.. Can I wear basketball shoes for this or do I have to buy special shoes for the gym?|||No, there's a lot of running involved in basketball, if it's good enough for that, it's good enough for the treadmill.