"What the hell man, anyway," the outgoing Vice President said.
Asked by reporters if he was kidding by making such a statement, he, after a brief pause, said he is not ruling out anything.
"I'm not committing not to run. I'm not committing to anything. I learned a long time ago, fate has a strange way of intervening," said Biden, who in 2015 announced that he would not run for presidential elections.
Former Secretary of State Hillary Clinton, his close friend was the eventual Democratic nominee for the 2016 general elections.
She lost to her Republican rival Donald Trump, who is now the president-elect.