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 privately 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.
Mr Trump’s disenchantment with Mr Tillerson, a former chief executive of energy giant Exxon Mobil, has been rumoured for some time.
The secretary of state has defended the multi-party deal to curb Iran’s nuclear ambitions in return for a loosening of sanctions – an agreement derided by Mr Trump.
The president has also said Mr Tillerson is “wasting his time” trying to bring about diplomatic contacts with North Korea as it continues to build up its missile and nuclear capabilities.
Mr Tillerson was appointed in January and his replacement would result in one of the shortest tenures for an American secretary of state.
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Source: BBC