"It was only due to the superb quick reactions of the bus driver that she was not hit by the vehicle.
"We are keen to speak to the jogger in the CCTV about what happened that morning. We would urge him or anyone who recognises him to get in touch with us as soon as possible."
A Scotland Yard spokesman saidthe bus stopped and some passengers got off and rushed to the victim's aid. She received minor injuries.
"About 15 minutes later the jogger came back the other way across the bridge. The victim tried to speak to him but he did not acknowledge her and carried on jogging."
The jogger is described as a white man, aged early to mid 30s, with brown eyes and short brown hair. He was wearing a light grey t-shirt and dark blue shorts.
Officers are appealing for witnesses or anyone who recognises the jogger in the CCTV footage to get in touch.