Although the former Exxon-Mobil CEO was determined to stay in his post through the end of the year, two sources told the broadcaster over the weekend that they would not be surprised if he left sooner than that.
As both sources said they were familiar with Tillerson's conversations with his friends outside Washington, they noted an apparent increase in the secretary's frustration and his doubts that the tug-of-war with the White House would melt any time soon, the CNN reported.
Last week, White House press secretary Sean Spicer resigned from his position because of his disagreement with the administration's decision to appoint financier Anthony Scaramucci as a new communications director. Spokeswoman Sarah Huckabee Sanders was appointed as the new White House press secretary after his resignation.