Pompeo, who has been charged with leading negotiations aimed at persuading North Korea to give up a nuclear weapons program that threatens the USA, said he would "constantly reassess" whether enough progress was being made to continue talks.
USA president Donald Trump and the North's leader Kim Jong-un met in Singapore on 12 June for talks aimed at ending a tense nuclear standoff.
But the top United States diplomat, Trump's point man on North Korea, declined to set a deadline by which he wanted to see the Democratic People's Republic of Korea make visible steps toward that goal. "We hope that we will have an ongoing process of making progress".
Referring to Trump's decision to suspend U.S. military exercises in the region, Pompeo said that "the President was clear".
Pompeo told CNN that Trump's decision to suspend U.S. military exercises in the region will continue "only so long as there is a good-faith negotiation progress, productive results being achieved".
"We'll know pretty soon if they're going to operate in good faith or not", the official said, speaking on condition of anonymity.
Last week South Korea's military denied artilleries were brought up at the inter-Korea talks at the border, according to the Chosun Ilbo.
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Officials did not release an official statement about the decision, but AP reporters confirmed Monday that it would not be held. That's going to be worked on.
On Monday, Pentagon spokeswoman Dana White walked those comments back in a pair of tweets.
More virulent forms of anti-US propaganda have been disappearing from the streets of Pyongyang, while images of missile launches and military formations on a prominent site outside the city train station have been replaced with visuals of industry and agriculture.
North Korea will cancel its annual "anti-US imperialism" rally, part of a growing detente with its longstanding enemy as the two countries negotiate over the fate of the North's nuclear weapons program.
"We simply are standing by for whenever the diplomatic activities are done", he told journalists. "We have a great chairman, Kim, we have great chemistry". China will nearly certainly wish to reward North Korea with immediate sanctions relief if progress on denuclearization is made, so it will be important to ensure China understands and agrees with the timetable presented to Pyongyang.