Will a TESOL minor make my application more competitive?

My school offers a TESOL minor, but the minor does not come with a TESOL certification. I know there are other means of getting certified in TESOL, but I was wondering how necessary that would be if I have the minor. I also know you don't need to be certified in TESOL to get into JET, but that it makes your application look a bit better, and was wondering if a minor in TESOL would have the same or similar effect.