White House Leaves Door Open for Possible Obama Visit to Capitol Hill on Tax Deal

President Obama has made several statements on-camera this week, even did a Youtube video for his political arm to try to sell his tax deal compromise, but hasn't yet gone to Capitol Hill yet to speak to lawmakers face-to-face.

So will the president make a cameo to the Hill?

The White House didn't rule it out.

"There's nothing on the president's schedule. That doesn't preclude at some point that happening," White House Press Secretary Robert Gibbs said at a briefing Wednesday.

They've largely relied on Vice President Joe Biden to handle the talking and attend meetings on the Hill, noting his knowledge and experience of decades in the Senate.

The president also was a Senator, but only served a couple years before moving on to campaign for a spot at 1600 Pennsylvania Ave.

The White House said Biden's role in getting the Bush-era tax deal with lawmakers was "terrific." Party-faithful Democrats have been openly angry with the White House, saying the president caved too much on allowing tax cuts for the wealthiest in America. The White House argued they needed to make some concessions in order to get middle-class tax cuts, and are happy they were able to get an extension of unemployment insurance out of the negotiations.

Biden has largely avoided answering any questions from the press while he's been on the Hill. He spent Wednesday afternoon with House Democrats, including Speaker Nancy Pelosi.

[Read more here on the evolution of Joe Biden as vice president]

A source inside the meeting described the vice president's tone to Fox News' Senior House Producer Chad Pergram, saying Biden's tone as "pitch perfect" and he was "diplomatic and respectful," noting that the VP may have changed some minds.

But another source also inside the meeting indicated that the changing of minds "remains to be seen" and speculated there would be "other meetings" before this was settled.

Rep. Dan Boren, D-Okla., one of the most-conservative Democrats in the House told Pergram that lawmakers appreciated the White House reaching out. Boren is still undecided on the tax bill, and said that people were appreciative of the Biden coming to listen, even if they disagreed with him.

The White House emphasized that even though the president hasn't been on the Hill, that he has been in touch, however Gibbs noted he wasn't aware of any phone calls the president made in regards to the tax deal, even though Obama had been making calls on other legislation that is pending.

The president has already made several on-camera statements this week about the deal and administration officials said there's likely more to come.

"[T]he President will continue to be out there ensuring that people understand what's in this, what's at stake," Gibbs said.

Time isn't on his side for a potential Cap Hill visit though, with a packed lame-duck schedule and looming holidays, there isn't much time left for a presidential stop.

So far the White House has said there are no plans to delay any travel plans Obama has for the holidays.

FOX News' Chad Pergram contributed to this report.