Trump unsure if Mattis will stay: 'He's sort of a Democrat'

President TrumpDonald John TrumpBiden says voters should choose who nominates Supreme Court justice Trump, Biden will not shake hands at first debate due to COVID-19 Pelosi: Trump Supreme Court pick 'threatens' Affordable Care Act MORE said in an interview broadcast Sunday that it's possible Defense Secretary James MattisJames Norman MattisBiden courts veterans amid fallout from Trump military controversies Trump says he wanted to take out Syria's Assad but Mattis opposed it Gary Cohn: 'I haven't made up my mind' on vote for president in November MORE will leave his administration.

Trump told Lesley Stahl of "60 Minutes" that Mattis hasn't told him that he intends to leave his post, but demurred when asked if he'd like to see the general depart the Cabinet.

"I have a very good relationship with him," Trump said. "I had lunch with him two days ago. I have a very good relationship with him. It could be that he is."

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"I think he's sort of a Democrat, if you want to know the truth," the president continued. "But Gen. Mattis is a good guy. We get along very well. He may leave. I mean, at some point, everybody leaves. Everybody. People leave. That's Washington."

Mattis's departure has been the subject of speculation for weeks, with multiple news outlets reporting that Trump has been weighing potential replacements.

The president later denied those reports, citing Mattis's response to Bob Woodward's book, "Fear: Trump in the White House," which reported exchanges in which the Defense secretary criticizes the president to other staffers and questions Trump's understanding of key issues.

Mattis, 68, issued a statement denying he said anything attributed to him in the book, calling the work "fiction." He later told reporters not to take rumors of his exit seriously.

The president told "60 Minutes" that there are some Cabinet members he's "not happy with" and acknowledged there are likely to be more departures. 

In addition to Mattis, numerous reports in recent months have focused on the uncertain future of Attorney General Jeff SessionsJefferson (Jeff) Beauregard SessionsRoy Moore sues Alabama over COVID-19 restrictions GOP set to release controversial Biden report Trump's policies on refugees are as simple as ABCs MORE. Trump has openly criticized his attorney general on several occasions, but said that the former Alabama senator would be safe at least until the midterms.

U.S. Ambassador to the United Nations Nikki HaleyNimrata (Nikki) Haley'The soul' versus 'law and order' Author Ryan Girdusky: RNC worked best when highlighting 'regular people' as opposed to 'standard Republicans' GOP lobbyists pleasantly surprised by Republican convention MORE announced last week that she would leave her post at the end of the year.