Pompeo said he could not get into specifics but said that North Korea's progress has gone on for decades.
"Nothing is imminent. But be careful, the increased likelihood of a nuclear missile strikes the United States is a very unsafe threat", added the director of the u.s. central intelligence agency.
Still, he said Americans shouldn't be alarmed.
"I've seen no intelligence to indicate we're in that place today", Pompeo said.
He said the US has a "pretty good idea" of North Korea's intentions, but Pompeo declined to provide specifics.
Clapper also called for a de-escalation in rhetoric from President Donald Trump, because of Kim Jong Un's unpredictability.
USA financial markets took the rhetorical escalation in stride on Friday even as European and Asian markets weakened in a catch-up reaction to Thursday's drop. Dunford, the chairman of the Joint Chiefs of Staff, told reporters traveling with him that he aims to "sense what the temperature is in the region".
Now it was on countries like China and Russian Federation along with USA allies like South Korea and Japan to work in tandem to get nuclear weapons out of the region.
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North Korea, meanwhile, has threatened to launch a rocket at the waters near the USA territory of Guam some 21,000 miles away.
He said President Trump was just trying to give the country's people hope when he floated the idea on Friday that the U.S. would take military action after condemning Venezuelan leader Nicholas Maduro for human rights abuses and calling for him to hold "free and fair elections". Trump has said he would not allow Pyongyang to develop a nuclear weapon capable of hitting the United States.
"Ideally, I'd love a denuclearized North Korea, but as I learned when I went there and had some pretty intense dialogue with them, that is a nonstarter with them", Clapper, who served under former President Barack Obama, told host Jake Tapper on CNN's "State of the Union".
North Korea, for its part, threatened to shoot four missiles towards the island of Guam, a strategic outpost of the u.s. forces in the Pacific, where are stationed about 6,000 american soldiers.
Meanwhile, top United States military officer General Joseph Dunford is in Asia and is expected to meet with leaders in South Korea, Japan and China.
The White House said in a statement that Trump and Xi "agreed North Korea must stop its provocative and escalatory behavior".
Long-standing tensions over North Korea's nuclear programme worsened when it tested two intercontinental ballistic missiles in July.