Boris Johnson will change his name to 'Barclays Johnson' if the bank continues to provide financial support for the London bike scheme.
The Mayor of London jokingly made the suggestion during an interview on LBC 97.3 radio.
"If they give us another £100 million for the bike hire scheme, I'll change my name to Barclays Johnson," Johnson said.
But he also revealed he was "fed up" with answering questions about his political ambitions, saying he wanted to go on being the London Mayor.
Johnson, whose second term as mayor ends in 2016, has repeatedly attempted to pour cold water on reports that he is hoping to replace David Cameron as Conservative leader, without ever putting an end to speculation.
"I'm going to continue to be Mayor of London, as I never tire of telling you. Something will crop up."
Asked by presenter Nick Ferrari what that "something" would be, Mr Johnson replied: "That is a matter for it. It will have to crop up. I'm going to leave it to events.
"I'm fed up with answering this. I love doing my job and it is the most absorbing, brilliant job I have ever had and I want to go on doing it as well as I can."