Biden jokes about co-hosting with Hillary

(CNN) - Vice President Joe Biden and former Secretary of State Hillary Clinton generated a lot of 2016 buzz with their breakfast on Tuesday.

The vice president followed up with a joke later in the day, tweeting that he and his former Senate colleague may be up for co-hosting a television segment one day.

It all started when Al Roker, co-host of NBC's "Today," teased the idea of "Breakfast with Biden," a reality show that Roker said he would "watch in a minute." The thought came to mind while he was on a panel discussing the morning meal shared by Clinton and Biden.

"Doesn't that sound like a show, Breakfast with Biden?" Roker pitched.

Another thought came to mind: How about being a celebrity guest host on "Today"?

"We should see–Will the vice president come in and fill in on the 9 o'clock? That would be fantastic," he said. "Just for the day."

"The door is always open" he added.

Hours later, Biden responded on Twitter.

Roker's proposal isn't too farfetched. Earlier this year, an online petition was created through the White House's website that called for Biden to star in his own reality television program.

"Vice President Joe Biden has a demonstrated ability to bring people together, whether at the negotiating table or at the neighborhood diner," the petition stated.

While the petition failed to get enough votes to lead to anything, Biden now records his own podcast, called "Being Biden." The audio series, which launched in March, features Biden briefly talking about his life as vice president. So far it has 10 volumes.

- CNN’s Kevin Bohn contributed to this report.