Could I be ovulating on the pill?

Ok so since I've started birth control I've noticed that I have still been getting ovulation discharge. I've only been on it since the end of March so that's a little over three months (not sure if that matters). I took an ovulation test this morning and it had two lines, but one was slightly more faded. The instructions told me to test again tomorrow. Is this even possible? I thought birth control was supposed to suppress ovulation and now I'm really worried. Has this happened to any of you? What do you think I should do? I'm really worried I could end up becoming pregnant. I'm thinking about making an appointment at the gynecologist (I've been meaning to do that anyway). Any input is welcome! Thanks girls!