It is hoped the new picture, which was taken from inside the 430 bus, will spark someone’s memory nearly four months after the suspected assault took place.
The 33-year-old female victim was left with minor injuries after she was shoved into the path of oncoming traffic as she walked along the bridge towards south London on 5 May.
Footage shows the male jogger running past a man on the bridge, before knocking the woman to the ground.
Around 15 minutes after the incident, the jogger ran back over the bridge, but ignored the woman when she tried to speak to him and carried on jogging towards the north side of the river.
Hero bus driver Oliver Salbris, who jolted the double decker to the right to avoid the woman as she fell into its path, told Sky News he is “certain” the push was deliberate.
The suspect is described as a white man with brown eyes and short brown hair, who was in his early to mid-30s.
He was wearing a light grey T-shirt and dark blue shorts with grey trainers.
Two men arrested last month in connection with the incident have both been released without charge.
Police are now appealing for witnesses – including anyone who previously called to provide a name for the suspect – to call again with as much information as possible.
Anyone with information should call detectives from Wandsworth CID on 020 3276 2606 or call Crimestoppers anonymously on 0800 555 111.