The Metropolitan Police force said Saturday that a man arrested earlier this week has now been "eliminated from the investigation".
Lawyers for American banker Eric Bellquist had confirmed he was the man arrested on suspicion of causing grievous bodily harm, but added he had been "wrongly implicated in this matter" and "categorically denies" the accusation.
The incident in question occurred in May, but came to public attention this week when police released CCTV footage that shows a jogger on Putney Bridge pushing a woman into traffic, and a bus swerving to avoid her as she falls.
Images of the near-death experience show the woman, 33, walking on the east side of Putney Bridge in west London, heading towards Putney Bridge Tube Station. "Consequently, we expect a swift resolution to this wholly untrue allegation".
Bellquist's profile on Hutton Collins Partners's website is still up.More news: In phone call, Trump assures Guam of safety - and fame
The 41-year-old was taken into custody after CCTV footage emerged showing a jogger shoving the woman onto the road, narrowly missing an oncoming double-decker bus.
The bus stopped and passengers tended to the woman following the incident at about 7.40am on May 5.
She told police she spotted the jogger again 15 minutes later as he ran back across the bridge and tried to talk to him but he ignored her and carried on with his run.
Police are still on the pursuit for the man who they think is behind the attack. He was wearing a light grey t-shirt and dark blue shorts.