The White House has previously said Musk will recuse himself if any conflicts of interest arise between his business dealings and his role in cutting federal government spending.
Last week, Director of National Intelligence Tulsi Gabbard said she had ordered an investigation into leaks from inside the intelligence community and is also probing internal chat rooms for any misconduct by employees.
During Trump's first term, his administration referred more media leaks for criminal investigation each year than in any of the previous 15 years, according to records released in 2021 by the Justice Department to the independent watchdog group, Project on Government Oversight, in response to a Freedom of Information Act lawsuit.