No consultation has been underway between South Korea and the Democratic People's Republic of Korea (DPRK) for another inter-Korean summit, Seoul's unification ministry said Wednesday.

Baik Tae-hyun, spokesman of the unification ministry in charge of inter-Korean affairs, told a regular press briefing that South Korea has not yet consulted with the DPRK on the inter-Korean summit.

The comment came amid rising media speculation that South Korean President Moon Jae-in and top DPRK leader Kim Jong Un may meet again as early as late August to find a breakthrough in the denuclearization process of the Korean Peninsula.

Moon and Kim held summits in April and May, agreeing to meet again in Pyongyang this fall.

The DPRK leader and U.S. President Donald Trump agreed to complete denuclearization during their first-ever summit in Singapore in June.