Pompeo and Tillerson will meet for around two hours, according to two sources with knowledge of the meeting.
President Donald Trump announced the firing of Tillerson on Tuesday and named Pompeo, who will need to be confirmed by the Senate, as his successor.
Pompeo is also planning on meeting with lawmakers Monday ahead of his confirmation hearings. He is already facing opposition from his own party.
Republican Sen. Rand Paul said on CNN’s “State of the Union” Sunday that he would take all necessary steps to oppose Trump’s nominees for secretary of state and CIA director.