Trump last week said North Korea would be met with "fire and fury" if leader Kim Jung Un followed through on a threat to execute a missile strike on nearby Guam, a US territory with an American military base.
"But, make no mistake about it, the continuation, the increased chance that there will be a nuclear missile in Denver is a very serious threat", the head of the Central Intelligence Agency said, commenting that he is "quite confident" North Korean dictator Kim Jong-un will continue to advance his weapons programs.
North Korea has developed an intercontinental ballistic missile that can range most of the continental USA, as well as nuclear warheads for its new ICBM. North Korean officials in turn have accused the US leader of driving the Korean peninsula to the brink of nuclear war.
Asked how anxious people should be, Pompeo told Fox News Sunday: "There's nothing imminent today". He said the USA has a "pretty good idea" of North Korea's intentions, but Pompeo declined to provide specifics.
Pompeo described the North's leader, Kim Jong-un, as "rational".
The top USA military officer, Marine Corps Gen. Joseph Dunford, is traveling in Asia and expected to meet with leaders in South Korea, Japan and China.
"It doesn't surprise me that those who came before us were surprised; they did nothing", Pompeo said.
The call came after Trump made fresh threats against North Korea on Friday, declaring the USA military "locked and loaded" and warning Kim that he "will regret it fast" if he takes any action against US territories or allies.
"The United States military is always locked and loaded", he said. North Korea has previously mobilized large crowds to show its resolve when tensions escalate.
Pompeo also added that the goal, from the administration's standpoint, remains a "denuclearized" Korean peninsula.
President Donald Trump has offered fiery warnings for North Korea, saying that the US military was "locked and loaded". "It is probably fair to say they are moving toward that at an ever-alarming rate", he said when asked whether North Korea has nuclear weapons capable of hitting the U.S.
The North then came out with a threat to lob four intermediate-range "Hwasong-12" missiles near Guam, a tiny USA territory some 2,000 miles (3,200 kilometers) from the North's capital, Pyongyang.