The US vice president was asked about his intentions for 2016 during a round of interviews to push the themes of President Barack Obama's State of the Union address yesterday.
"I haven't made the decision what I'm going to do. I haven't decided to run or not run," Biden told broadcaster ABC.
Many analysts believe that Biden, who has unsuccessfully run for president twice before, would not get into the field if Clinton -- already the dominant potential candidate for the Democrats, gets into the race.
On CBS television, Biden said Clinton's decision about her own potential race would "not directly" impact his own intentions.
Also Read
"The only reason a man or woman should run for president -- I'm sure Hillary views it the exact same way -- is if they think they're better positioned to be able to do what the nation needs at the moment."
Biden, though fit and sprightly, would face questions over his age should he decide to run for president. He would be 74 in January 2017 and would become the oldest president inaugurated for a first term.
Clinton, the former secretary of state, has said she will make a decision this year on whether to take aim at the White House again, after her 2008 primary loss to Obama.
Her allies have already started assuming control of key parts of the Democratic Party infrastructure to prepare the way for a race, should she decide to go for it.