Rival political parties are engaging in a war of nerves over the timing of a second vote seeking to override President Yoon Suk Yeol’s veto of two special counsel probe bills.

The bills concern the so-called "Five Billion Won Club" in the Daejang-dong development scandal and First Lady Kim Keon-hee's alleged stock manipulation.

The ruling People Power Party(PPP) on Friday called for a vote during a plenary session next Tuesday, with PPP floor leader Yun Jae-ok saying that a delay in the vote is politically and ethically unacceptable.

The main opposition Democratic Party(DP), on the other hand, is mulling over seeking adjudication by the Constitutional Court on jurisdictional disputes.

A DP official told Yonhap News Agency that a vote on Tuesday is unlikely as the opposition plans to make a decision on going the judicial route after collecting expert opinions.

The DP's majority in parliament is not enough to override the presidential rejection, which requires passage by a two-thirds majority in a plenary session attended by more than half of all lawmakers.