Donald Trump. Brian Blanco/Getty Images

Donald Trump's campaign is considering some of his top surrogates for high-ranking positions in a Trump White House, NBC News reported Monday, citing three campaign advisers.

Among others, Trump's aides are reportedly considering former Mayor Rudy Giuliani of New York for attorney general; former House Speaker Newt Gingrich for secretary of state; retired Lt. Gen. Michael Flynn for secretary of defense or national security adviser; and Reince Priebus as White House chief of staff.

NBC's sources also said other Trump campaign and Republican National Committee officials were being considered for top positions. The Trump campaign's finance chair, Steve Mnuchin, is being vetted for Treasury secretary, and Lew Eisenberg, the RNC's finance chair, is being considered for commerce secretary, NBC said, citing the campaign sources.

Sen. Jeff Sessions of Alabama has reportedly taken on a key role in finding candidates for cabinet positions, with help from the conservative think tank Heritage Foundation and advisers from Mitt Romney's campaign and George W. Bush's administration. NBC News also said Trump's running mate, Mike Pence, was "heavily involved" in the vetting process.

NBC News said Trump was not heavily involved in planning for his future administration, in part because he didn't want to "jinx" his chances of winning the White House.

A Trump campaign adviser cited by NBC News was unsure of how Priebus would respond to being tapped for chief of staff but said the logic in pursuing him was "to find that balance between someone who knows how Washington works and someone who shakes things up."

Reince Priebus, the chair of the Republican National Committee. AP

It is unclear whether two of the biggest names in Trump's campaign — Steve Bannon, the CEO of Trump's campaign and former head of the far-right media organization Breitbart News; and Kellyanne Conway, Trump's campaign manager — would accept roles in Trump's administration.

When reached for comment by email from NBC News, Trump campaign spokeswoman Hope Hicks replied that "none of this is accurate," adding that Trump was "entirely focused on the campaign and the American people."

While polls last week showed an increasingly tight race between Trump and Democratic nominee Hillary Clinton, a slew of recent polls show her pulling ahead after being cleared by the FBI after it examined newly-recovered e-mails from her private server. One day before the election, she leads Trump by 2 points nationally.