Vice President Joe BidenJoe BidenBloomberg campaign: Primary is two-way race with Sanders HuffPost reporter: Sanders could win plurality of delegates but lose nomination Meghan McCain to Joy Behar: 'You guys have done a piss-poor job of convincing me that I should vote for a Democrat' MORE on Sunday suggested he still has his sights set on the nation's top job.

Biden seemed to misunderstand David Gregory on NBC's Meet the Press when Gregory first asked him about it. Then Gregory pressed him, asking, "But you don't want to become president?"

"I didn't say that," Biden said with a big smile. He added, again with a smile: "No, I won't rule that out."

Biden, whose presidential run in 2008 went nowhere, would be on the verge of his 74th birthday on Election Day 2016, which would be the first chance he would have, assuming President Obama seeks a second term.

He said Obama so far has exceeded his expectations and has allowed the longtime former senator an important role as vice president.

"There's not a single major decision he's made I have not been able to get him alone with one or two other people ... and asked me my view," Biden said.

Biden also talked about his son, Beau Biden, and his likely candidacy for the vice president's old Senate seat in Delaware in 2010.

"I think he'd make a great senator, but I learned a long time ago with him that he's his own man," Biden said. "I'm going to say something that people are going to criticize; this is the finest man I've ever known in my life, my son."