The latest reports indicate his long-anticipated departure from State could be coming in the next few weeks, under a new plan pushed by Gen. John Kelly, which would see Tillerson ousted, and replaced by current CIA Director Mike Pompeo.
The news that the White House is seriously considering replacing Tillerson with CIA Director Mike Pompeo comes as Trump remains deeply frustrated with his secretary of state, another source familiar with the President's thinking said.
Relations between President Trump and the senior member of his Cabinet - the former CEO of Exxon Mobil - have been strained nearly from the start.
Asked on Thursday if he wanted Tillerson to stay, Trump sidestepped the question saying: "He's here". Nauert added that Tillerson "serves at the pleasure of the president".
Trump is considering a plan to oust Tillerson, whose relationship has been strained by the top USA diplomat's softer line on North Korea and other differences, senior administration officials said.
"There are no personnel announcements at this time", White House spokeswoman Sarah Sanders later said in a statement that left Tillerson twisting in the wind. Too much churn could fuel the perception of chaos in the Trump White House - perhaps one reason he has yet to pull the trigger. Tom Cotton, R-Arkansas, could present a wrinkle in the strategy.
Hardik Patel accepts Congress formula, offers full support
He said Congress has been completely exposed before the Assembly elections . The PAAS leader also claimed that the BJP was trying to "buy them off".
A former Kansas congressman and the current Central Intelligence Agency director could become the new secretary of state.
Friction between the president and the nation's top diplomat has grown increasingly public through the year. Bill to save cyber diplomacy office advances America's decision on North Korea hinges on Trump's success in Asia MORE.
At a private dinner of foreign policy veterans last month, a senior White House official criticized Tillerson for failing to support the president's agenda, according to a person familiar with the matter.
"I think he has represented the United States' interests exceedingly well, particularly in our region", she told Sky News on Friday.