Frank Breech baby boy @ 36+3

I just got back from my 36 week check up and first cervical check. I haven't progressed at all, and when doct went to feel what baby's position was, she wasn't convinced he was head down. She sent me for an ultrasound right after, which proved that my little man is head up. 😖
Does anyone have any knowledge or advice on how to persuade him to flip? I'm pretty sure he's been breech this whole time... what is the likely hood of him flipping at this point or later?