Transmitting HSV2 to partners mouth during oral?

When giving oral I’ve read mixed reviews like of course it can happen just as easily as genital to genital but I’ve also heard that it’s extremely rare for that to happen unless you’re actively having an outbreak. I’d ask my doctor but when I first got diagnosed I had one tell me it can’t be transmitted unless you’re having an outbreak and another tell me you can transmit at any time. Does anybody have experience with this situation?