Pompeo said that "if we can get America's interests safe and secure we are prepared to do a great deal", including security assurances for Kim. If the right deal is not on the table, we will respectfully walk away.
Pompeo added he was "very hopeful" the summit would still go ahead on 12 June. When asked if there could be an incremental approach, providing incentives along the way to the North, he said, "I don't think I want to totally commit myself".
Pompeo steered away from that comparison, but said the US wants "rapid denuclearization, total and complete, that won't be extended over time".
"We have made zero concessions to Chairman Kim and have no intention to do so", Pompeo said.
In a May 16 letter to the Security Council North Korea sanctions committee, seen by Reuters, Singapore asked for a blanket waiver for the participation of North Korean delegations.
There was no word on how the South Korean reporters might reach North Korea to catch up with their colleagues. Eight journalists from South Korea departed for rival North Korea after the North allowed them to join the small group of foreign media to witness the dismantling of its nuclear test site this week.
Pompeo, who was director of the Central Intelligence Agency before becoming secretary of state in April when Trump fired Rex Tillerson, has met twice with Kim in Pyongyang. On his most recent trip he brought back three Americans who had been held by North Korea.
Pompeo said Turkey should stay in North Atlantic Treaty Organisation but that it "should act in a way consistent with what we try to achieve in North Atlantic Treaty Organisation".
Meanwhile, a group of global journalists is travelling to North Korea's Punggye-ri nuclear test site to watch it being dismantled.
The United States and South Korea are working to keep the scheduled US summit with North Korea on track - even after President Donald Trump's comment that "there's a very substantial chance" it won't go off as planned. -South Korean military exercises. -South Korean "Max Thunder" air combat drills.More news: Ebola outbreak: Botswana issues travel alert to DRC
Talks between the Koreas will likely resume after Friday, once Max Thunder finishes, said Moon's media secretary, Yoon Young-chan.
The North's decision to close the Punggye-ri nuclear test site has generally been seen as a welcome gesture by Kim to set a positive tone ahead of the summit.
However, the Unification Ministry said today that Pyongyang had now granted them permission.
On Seoul's streets Wednesday, South Koreans were circumspect about whether they thought Pyongyang was genuine.
In February the Security Council sanctions committee granted approval for a North Korean delegation, specifically United Nations -sanctioned senior official Choe Hwi, to travel to South Korea for the opening of the Winter Olympics. Libya's longtime autocratic leader Moammar Gadhafi was killed several years later after a Western-backed military intervention. Whatever it is, we'll know next week about Singapore.
But the United States can not protect Kim from threats inside North Korea.
"Under that umbrella, you have North Korea and you have Iran", she said.
Ahead of the North Korea meeting, the president has been nearly singularly focused on the pageantry of the summit -including the suspenseful roll-out of details, senior administration officials said.
Pompeo also touched on an issue that was once central to the administration's campaign of "maximum pressure" on North Korea, but has been rarely mentioned by US officials since Trump agreed to the summit: human rights. During a meeting with South Korea's President Moon Jae-in on Tuesday, Trump said that discussions about whether to hold the summit were still ongoing.
US officials said preparations for the summit were still underway despite recent pessimism - and privately suggested there would be additional public maneuvering as both sides seek to maximize their leverage.