The White House is discussing plans to replace Secretary of State Rex Tillerson with CIA chief Mike Pompeo, US media say.
Mr Tillerson has been at odds with Mr Trump over foreign policy recently.
The secretary of state was even reported to have described the president as a “moron”.
They have differed in their approach to North Korea’s missile testing and Iran’s nuclear programme, among other issues.
A White House official was quoted by Associated Press as saying a plan was being discussed and unnamed government sources also spoke to the New York Times and Vanity Fair.
Mr Pompeo would be replaced at the CIA by Republican Senator Tom Cotton, the New York Times reports.
Reports suggest the change could take place as soon as December or in January.
However, it is not yet clear whether Mr Trump has given final approval to the move, the NYT reports.