FAIRFAX — U.S. Sen. Tim Kaine, D-Va., said he doesn’t have any flights booked to Florida this weekend, where Hillary Clinton is expected to unveil her choice for a running mate.

“But,” Kaine said, deploying his mischievous sense of humor, “I’m checking the Greyhound schedules.”

It was a light moment Wednesday during a Northern Virginia roundtable on business issues in what quickly has become a wall-to-wall Kaine Watch on the junior senator’s chances in the 2016 Democratic veepstakes.

Kaine joked that the vice presidential speculation was a ruse concocted by the Northern Virginia Chamber of Commerce “to drive up attendance today.”

Indeed, it was a full house — of business people and national media — at the Inova Center for Personalized Health, where Kaine and fellow U.S. Sen. Mark Warner, D-Va., gathered to discuss Virginia and national business issues.

But Kaine, who was a runner-up in 2008 to Joe Biden as Democrat Barack Obama’s running mate, is used to it. So when he took the stage Wednesday, he knew politics would intersect with business.

Moderator Julie Carey, a reporter for NBC4 in Washington, got right to the point after both men were introduced at the Inova Center for Personalized Health.

She put Kaine on the spot by asking when he might know if he’d been selected by Clinton to be her running mate.

“I guess all I can tell you is I went through the process in 2008, so I kind of know the rhythm of it and I’m glad that I do,” he said.

“The decision is very late, so I don’t expect a decision will be made and announced until the weekend between the two conventions, and that’s really all I know right now.

“It’s wonderful to be mentioned, but you know I love my job and I’m trying not to overly think it, but it’s been a very exciting last few weeks,” he added.

Carey said that Del. Mark Keam, D-Fairfax — one of a number of Northern Virginia Democratic lawmakers in attendance — suggested that she ask the vice presidential question a different way:

“Any flights booked to Florida over the weekend?” Carey asked — a reference to Clinton’s campaign events in Orlando and Tampa on Friday and Saturday, before the Democratic National Convention convenes Monday in Philadelphia.

“Thanks, Mark!” Kaine said, smiling and slightly squirming in his chair on stage.

“No flights booked,” Kaine said. “But I’m checking the Greyhound schedules,” he said to bursts of laughter.

But Kaine wasn’t off the hook yet.

His fellow senator, Warner, who also has been mentioned as a possible vice presidential choice for Clinton, was asked the odds that a Virginia senator would be on the ticket that is celebrated in the City of Brotherly Love next week.

“I think the junior senator’s got a bright, bright future,” Warner said to laughter and applause.

“I could not think of a better person for Secretary Clinton to choose,” Warner said, making the case for his friend, who was Warner’s No. 2 as lieutenant governor when Warner served as governor from 2002 to 2006.

Kaine and Warner have known each other for 37 years. They met in law school at Harvard.

“I think Virginia benefits from the fact that we know each other, like each other, and there is nobody more honest, steadfast, trustworthy,” Warner said, putting his hand over Kaine’s arm as they sat next to each other.

“There’s nobody I would have more confidence in, and our country would be really well-served” if Clinton chose Kaine, Warner said, to applause.

“And you get him on a harmonica and he’s not boring at all,” Warner added — a reference to Kaine’s self-description as boring, as well as his self-taught hobby of playing blues harmonica.

Clinton praised Kaine in an interview with Charlie Rose of PBS, broadcast Tuesday. Rose asked Clinton about Kaine’s recent admission on NBC’s “Meet the Press” that he is boring.

“I love that about him,” Clinton said with a laugh. “He’s never lost an election. He was a world-class mayor, governor and senator.”

Whether Kaine will be playing the blues in the veepstakes remains a mystery, as Clinton is said to be considering at least a handful of other possible nominees, including Secretary of Agriculture Tom Vilsack, a former governor of Iowa; and Labor Secretary Tom Perez.

For the immediate future, however, Kaine will be doing his current job in Virginia. He has events scheduled today in Arlington County on immigration reform and in Sterling on religious freedom.