Asked if that meant that he does not expect any future missile tests, Pompeo said he is "quite confident" that North Korean dictator Kim Jong-un "will continue to try to develop a missile program, so it wouldn't surprise me if there was another missile test".
President Trump issued yet another provocative warning of military action against North Korea on Friday, the third time in a week that he has suggested he was ready to strike the small, isolated Asian country that has been developing nuclear weapons capable of reaching the United States.
They said the United States and its allies can no longer afford to stand by as North Korea pushes ahead with the development of a nuclear-tipped intercontinental ballistic missile.
He said he doesn't think the U.S.is closer to war than a week ago, but closer to war than a decade ago.
Tuesday: "North Korea, best not make any more threats to the United States", Mr Trump tells reporters. After critics in both parties called that sort of language excessive and reckless, Mr. Trump doubled down on Thursday by saying that "if anything, maybe that statement wasn't tough enough".
North Korea's military has reacted angrily by stating its preparedness to "contain" the USA bases on the Pacific island of Guam with missile strikes.
Trump to take executive action into China's trade practices
They spoke on condition of anonymity as they were not authorized to discuss the private call. It was not immediately clear whether his trade dispute with Beijing would be the subject.
"What I'm talking about is I've heard folks talking about being on the cusp of a nuclear war", he clarified.
"I've seen no intelligence to indicate we're in that place today", Pompeo said.
Several countries have expressed concern with the escalation of the crisis.
North Korea has argued that its weapons programs are necessary to defend itself from a perceived USA threat and has urged Washington to withdraw its armed forces in South Korea and sign a permanent peace treaty to replace the armistice that stopped, but technically never ended, the 1950-1953 Korean War.
Before that, however, North Korea's military announced it was working on a plan to "contain" the USA air, naval, and missile bases on the Pacific island of Guam by firing four intermediate-range ballistic missile (IRBMs) to "envelop" it.
In response, Mr Trump said North Korea should expect "big, big trouble" if anything happened to Guam.