The capital, Seoul, has seen more than two days of street protests demanding Yoon's resignation, while police said he is being investigated for "insurrection".
People have also been flooding PPP lawmakers with text messages, urging them to vote for Yoon's impeachment, according to South Korean media reports.
One MP, Shin Sung-bum, received more than 4,000 such messages on Facebook, The Chosun Daily reported.
Cho Kyung-tae was the first ruling party MP to publicly voice support for Yoon's impeachment.
"The choice between standing on the side of the people by suspending the president's duties or becoming an ally of the forces that imposed martial law is a matter for politicians to judge," Cho said on Friday.
"I hope that all the politicians of the People's Power will stand on the side of the people," he added.
More than seven out of 10 South Koreans were in favour of the impeachment, a survey by local pollster Realmeter showed on Thursday.
Yoon has not been seen or spoken publicly since reversing the martial law order early on Wednesday. A survey conducted from Tuesday to Thursday this week showed his approval rating had tumbled to a record low of 13%.
Before his attempt to place the country under military rule, the president had already been beset by low popularity ratings, corruption allegations and an opposition-led legislature that reduced him to a lame-duck leader.
Additional reporting by Hosu Lee in Seoul and Fan Wang in Singapore