"We'll know pretty soon if they're going to operate in good faith or not", the official said, speaking on condition of anonymity.
This year's anniversary comes less than two weeks after North Korean leader Kim Jong Un and US President Donald Trump shook hands at the unprecedented summit in Singapore.
Between 1990 and 2005, 229 sets of remains from the North were repatriated, but those operations were suspended when ties between the two countries deteriorated over Pyongyang's continuing effort to develop nuclear weapons.
He has said Washington hopes to achieve major disarmament by North Korea within the next two and a half years, during Trump's current presidential term.
Kim's cancellation of the tradition follows President Trump's decision to halt war games with United States troops and the South Korean military while negotiations to denuclearize the North are ongoing.
But the top U.S. 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.
Senior administration officials said that Pompeo was seeking an early meeting with his North Korean counterpart to begin discussions about next steps.
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Men and women are segregated from each other in public places. "Some naughty guys, you know", she said, giggling shyly. There's a waiting list of several months for the classes on offer in major cities. "I feel free like a bird".
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Nigeria's victory lifted them second in the group, behind Croatia who have qualified. They played so well in these roles and the team and their country benefited.
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North Korea's state media were filled with reports, photos, and video of the June 12 meeting between Mr. Trump and Mr. Kim in Singapore.
Limits placed by North Korea on the upcoming inter-Korean family reunions could be a sign of the hard road that lies ahead to implement the recent denuclearization agreements made by Kim Jong Un.
In the joint statement, Kim "reaffirmed his firm and unwavering commitment to complete denuclearisation of the Korean peninsula", but made no reference to a timeline, and going into the summit, Pyongyang repeatedly rejected unilateral nuclear disarmament.
Pompeo told CNN that Trump's decision to suspend United States military exercises in the region will continue "only so long as there is a good-faith negotiation progress, productive results being achieved".
Mattis will also push for more regional security cooperation from China by pointing out that the suspension of USA military exercises with South Korea satisfies a major Chinese strategic objective, which is the real reason China has insisted so strongly on its "freeze-for-freeze" plan that made suspension of American exercises a precondition for nuclear talks with North Korea.
CNN said Pompeo suggested it was too soon to expect a detailed roadmap after 40 years of tensions but insisted that Kim had been "unequivocal" about his willingness to denuclearize.