Biden hints about possible 2016 presidential bid

(CNN) - Vice President Joe Biden further fanned the flames of speculation Tuesday over a possible 2016 presidential bid.

While he was leaving a Delaware polling booth, Biden was asked whether it was the last time he'd cast a ballot for himself.

"No, I don't think so," he replied, smiling.

The vice president voted with his wife, Jill, Tuesday morning shortly after 7 a.m. ET at Alexis I. DuPont High School in Greenville. Biden represented Delaware as a U.S. senator for 36 years before becoming President Barack Obama's number two.

While waiting in line for about 11 minutes, Biden chatted and shook hands with those standing in line or passing through the polling station. The vice president then stepped into the middle booth of three, where the poll worker announced, "Now voting, Joe Biden."

Outside the school, the vice president was met with questions by reporters. Asked if he was feeling nostalgic, given that it's been 40 years since he first voted for himself, Biden said "it's always a kick."

"This is the eighth time that I've run statewide in the state of Delaware. It's always a kick, it really is, to see people out here," he said. "I hope everybody exercises their right to vote. It's a great honor."

This is the second time in less than a week that Biden has hinted at a potential White House run. While on a phone call with a voter in Florida last week, the vice president got into a discussion about health care and insurance, making his case for the president's health care reform.

"And after it's all over, when your insurance rates go down, then you'll vote for me in 2016," he said, before moving on and taking photos with supporters.

Biden has already made two bids for the Democratic presidential nomination, in 1988 and 2008. While Biden would be 73 in four years, the vice president stirred rumors last year when he left the door open to a 2016 campaign.

And his wife, Jill, fueled more speculation when she told NBC this summer that she wasn't sure whether "this is his last campaign."

"Joe would make a great president," she added.

CNN Political Reporter Shannon Travis contributed to this report.