I wish I had some advice for you! But, I'm dealing with the same issues with my 4 yr. old daughter. She'll be 5 in December, and still wets her pullup every night...and says the same thing...she doesn't know she's doing it. I know she would get up and go potty if she woke up and felt like she needed to go, but I just don't think she wakes up. We've tried all sorts of things, like limiting her liquid intake in the evenings, going cold turkey with panties, and rewarding her if she stays dry. I don't think the rewards work since she's not really aware that she's wetting her pullup. It's been very frustrating for us, but everyone I talk to tells us not to worry about it...that it's just a biological thing with some kids. But, like you said...I'm worried that she'll start getting teased about it if she hasn't kicked this problem before kindergarten.
One suggestion that a friend did with her son, that we haven't tried yet, is waking her up around 11:30pm...just before we go to bed, and having her go potty...even if we set her on the potty while she's still asleep! It eventually worked for my friend, so we'll probably try this if she hasn't gotten past this by next spring.
Good luck...I feel your frustration!