"There are many expectations, but I believe they might be a little too anxious," Moon was quoted by Yonhap news agency as saying.
A high-level delegation had arrived in Pyeongchang in South Korea for a three-day visit last week that was led by the North Korean ceremonial head of state, Kim-Yong nam. The delegation also included the younger sister of North Korean leader Kim Jong-un, Kim Yo-jong.
The possibility of what would be a third inter-Korean summit was highlighted last week when Kim Jong-un's sister, Yo-jong, delivered a letter and a message from Kim, inviting the South Korean president to Pyongyang at the earliest date possible.
Kim on Tuesday pledged efforts to continue the reconciliation with its arch-rival South Korea, as relations between the two Koreas have warmed rapidly over the last few weeks.
President Moon and South Korean Prime Minister Lee Nak-yon also called on the North Korean delegation.
Yo-jong's visit to South Korea was the first visit by a member of the ruling Kim family ever since the Korean War ended in 1953.
There have been two inter-Korean summits so far, one in 2000 and an another in 2007.