Administration officials said the president was so taken with Mr. Pompeo that he insisted that the C.I.A. director personally deliver his daily intelligence briefing when in Washington. (Dan Coats, the director of national intelligence, also takes part.)

“There have been days when I thought we were there, ready to give the brief. I thought, ‘There’s not a chance we’re getting in today,’” Mr. Pompeo said in April. “And you know, each day, we’re in there. It’s like clockwork.”

It is only after the briefing, usually in the late morning or early afternoon, that Mr. Pompeo treks across the Potomac River to C.I.A. headquarters in Langley, Va., where his ready access to Mr. Trump is seen as a positive. The agency sees the president as its main customer, and conventional wisdom in Washington holds that a C.I.A. director is only as powerful as his access to the Oval Office is strong.

“Pompeo’s ability to communicate in a style in which the president is comfortable, it’s probably good news,” said Michael V. Hayden, a former director of both the C.I.A. and the National Security Agency.

“Your job is to tell the president things he does not want to hear,” Mr. Hayden said. “But you’ve got to walk them to the truth — you just can’t slap them in the face with it and run out of the Oval Office.”

Officials say intelligence officers have found Mr. Pompeo to be eager to hear about their work and listen to their concerns. And he has won praise for aggressively pushing to expand espionage and covert operations and promoting veteran officers to senior roles. Last week, he traveled to Kabul to discuss security cooperation with Afghanistan’s leaders, including President Ashraf Ghani, in a country where the C.I.A. works closely with Afghan intelligence and agency paramilitary operatives have spent years hunting terrorists.

Current and former C.I.A. officials, all of whom spoke on the condition of anonymity to protect their careers, said there had been no overt pressure from Mr. Pompeo to shade intelligence on any issue since he took over the agency. But they also said Mr. Pompeo had made little secret of his own opinions — something that could impede the kind of intelligence the agency produced, according to Paul R. Pillar, who spent nearly 30 years at the C.I.A. and is now a fellow at Georgetown University.