"Which, by the way, is the White House," Priebus added. "So no one is moving out of the White House. That is the White House, where you can fit four times the amount of people in the press conference, allowing more press, more press coverage from all over the country to have those press conferences. That's what we're talking about."
Situated just to the west of the White House at 1650 Pennsylvania Ave., the Old Executive Office Building houses White House offices and staff, but is a physically separate building.
The news of a possible change in venue for White House press corps briefings comes after a very contentious first press conference by the president-elect last week.
“I know some of the folks in the press are uptight about this and I understand,” Priebus said on “This Week.” “The only thing that's been discussed is whether or not the initial press conferences are going to be in that small press room. For the people listening to this that don't know this, the press room that people see on TV is very, very tiny -- 49 people fit in that press room.”
“We had like 500 or 600 folks at the press conference last week so we started thinking, 'Man alive, if we can have more people involved than less people involved, that would be a good thing' -- that's what this is about, George,” Priebus said.
Priebus added that the change in venue would allow for more press coverage and greater access by journalists. Incoming White House press secretary Sean Spicer gave a statement to ABC News following the report in Esquire.
"While no decisions have been made, there is enormous interest in covering Donald Trump and his agenda to improve the lives of every American," Spicer's statement said. "The current briefing room only has 49 seats so we have looked at rooms within the White House to conduct briefings that have additional capacity to accommodate members of media including talk radio, bloggers and others."
Meanwhile, the president of the White House Correspondents Association, an organization of journalists who cover the White House and president, said he plans to meet with Trump's incoming press secretary on the issue.
In a statement to the media, association President Jeff Mason said he is seeking "clarity" about reports that the press-briefing room may be moved.
Mason also made it clear that the association's preference is to keep the press room where it is.
"The briefing room is open now to all reporters who request access. We support that and always will. The WHCA will fight to keep the briefing room and West Wing access to senior administration officials open. We object strenuously to any move that would shield the president and his advisers from the scrutiny of an on-site White House press corps," the statement concluded.
ABC News' Michael Edison Hayden, Katherine Faulders and Alexander Mallin contributed to this report.