When host Chris Wallace pressed him about how close North Korea is to being able to hit the USA mainland, Pompeo said that it was alarming but hard to define.
Pressed on his "nothing imminent" statement, Pompeo said: "What I'm talking about is, I've heard folks talking about that we have been on the cusp of a nuclear war".
"I'd love to see it, but I don't think that's in the cards", Clapper said on CNN's "State of the Union".
This AP file photo shows CIA Director Mike Pompeo. "He conducted two in July, so it wouldn't surprise me if there was another missile test", Pompeo said to Fox News on Sunday.
"It is probably fair to say that they are moving towards that at an ever alarming rate". "They expand the envelope", he said.
Following Trump's initial threat, North Korea threatened to target the tiny Pacific island of Guam, a USA territory that is home to large US air and naval bases.
White House officials have insisted the investigation is not created to apply additional pressure on China as it relates to North Korea despite the president's previous remarks that he would be more amenable on trade if China stopped Pyongyang's nuclear program.
Meanwhile, North Korea said on Saturday that almost 3.5 million workers, party members and soldiers volunteered to join or rejoin its army to resist new U.N. sanctions and to fight against the United States in the current geopolitical tension between Pyongyang and Washington. "But make no mistake about it ... the increased chance that there will be a nuclear missile in Denver is a very serious threat". "We've engaged the world to support that policy", Pompeo said, adding there will no longer be "strategic patience", the policy of former President Barack Obama, which centered on waiting for Pyongyang to return to denuclearization talks while increasing sanctions and pressure on the regime.
"They've been growing closer for two decades plus ..."
"We're not closer to war than a week ago but we are closer to war than we were a decade ago", McMaster said, adding that the Trump administration is prepared to deal militarily with North Korea if necessary.
Joseph Dunford, right, and United States Forces Korea Commander Gen. Vincent Brooks, second from right, greets a helicopter flight crew as he arrives at Osan Air Base, Sunday, Aug. 13, 2017, in Pyeongtaek, South Korea.
President Donald Trump has offered fiery warnings for North Korea, saying that the US military was "locked and loaded".