Trump withdrew from the planned summit with Kim Jong Un last Thursday, citing hostile North Korean comments, but has since said the meeting in Singapore could still happen as originally scheduled on June 12.
The U.S. "continues to actively prepare" for the "expected summit" with Kim, she added.
Planning for the historic summit, initially scheduled for June 12, appears to be moving ahead after the U.S. president called it off last week.
If the summit indeed occurs - as of now, I see no reason that it won't - it will be the first time a sitting US president meets with the leader of North Korea.
A delegation of United States envoys met with North Korean officials Sunday in Panmunjom to work out details of the summit.
According to U.S. media reports citing White House sources, the U.S. government has chosen not to impose new sanctions - originally set to be announced Tuesday - while working-level talks are underway.
When Kim Chang-son was asked by a reporter at Beijing airport if he was flying to Singapore for talks with the USA, he said he was "going there to play", according to footage from Nippon Television Network.
"Meetings are now taking place concerning Summit, and more", the president tweeted.
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Kim Yong Chol is a former military intelligence chief and now a vice chairman of the North Korean ruling party's central committee.
Kim, who is known to be well-versed in denuclearization and security issues, is subject to sanctions by the U.S. Treasury Department for his involvement in the North's nuclear program and other illicit activities.
Andrew O'Neil, an expert on North Korea and a professor at Griffith University in Australia, called the visit a "significant development".
Soon after this appointment, however, he was reportedly sent for "ideological re-education" as punishment for an "overbearing attitude", according to South Korean daily JoongAng Ilbo.
The official speaking to Yonhap noted a three-way summit in Singapore will largely depend on the outcome of ongoing pre-summit talks between the United States and North Korea, suggesting Moon's Singapore trip will likely be decided before the U.S.
Hooker was also a part of a US delegation led by Ivanka Trump, daughter of the president and his senior adviser, that attended the closing ceremony of the PyeongChang Winter Olympics at the end of February.
Kim Chang-son, a close aide of North Korea's ruling Kim family and high-level party official, had also been spotted in Beijing on Saturday.
Kim Yong Chol, a four-star general who has been at the forefront of North Korea's diplomatic outreach, landed at Beijing Capital International Airport on Tuesday, according to television footage from the airport. Kim Jong Un agrees with me on this. He said he was in Singapore to wish success for the summit between Trump and Kim to negotiate an end to Pyongyang's nuclear programme. Since then, North Korea has rejected U.S. demands for it to unilaterally abandon its nuclear weapons programme.
Kim reported from Seoul, South Korea.