In a comment directed at army chief Prayuth Chan-ocha he asked if it would be acceptable to the army if PDRC secretary-general Suthep Thaugsuban asked to use the vacated army headquarters.
Army HQ is adjacent to the PDRC stage on Ratchadamnoen Av. The army has moved out to a temporary head office to avoid difficulties for people entering and leaving the headquarters.
The army has taken over the job of ensuring security at nearby Government House, and has not prevented the PDRC using the Santi Maitree building in the compound for press conferences.
Maj Gen Apirat Kongsompong, commander of the 1st Infantry Division, said earlier that four army and two police companies remained at Government House.
The military had not handed Government House over to the PDRC and its ally the Network of Students and People for the Reform of Thailand (NSPRT), he said.
Mr Jatuporn, leader of the pro-government United Front for Democracy against Dictatorship (UDD), said on Tuesday morning that if there is a proposal to appoint a new prime minister under Section 7 of the constitution, the UDD would step up its protest. The red-shirts stood firm against a coup in any form and an appointed premier, he said.