Department of Special Investigation chief Tarit Pengdith, a member of the CMPO, on Tuesday said the ministry must make a quick decision on Mr Satish and forward it to the centre to complete the process.
Mr Tarit told a press conference that the centre will give interior ministry until Wednesday to submit the decision.
He did not say what would happen if the ministry missed the deadline.
The CMPO has ordered the deportation of the president of the India-Thai Business Association for alleged violation of the emergency decree by taking part in an anti-government rally in several occasions.
He initially argued they were all before the emergency decree came into force.
The CMPO still needs a final decision by the ministry on whether it will withdraw his permanent resident status. The process would be complete after CMPO director Chalerm Yubamrung signs the deportation order after receiving the report from the ministry.
Permanent secretary for interior Wibul Sanguanpong chaired a meeting of officials from other agencies, including the Immigration Bureau, to discuss Mr Satish's position on Monday, but they could not reach an agreement on the issue, according to the CMPO.
The Interior Ministry has full authority over immigration laws.
Mr Chalerm on Tuesday called on the ministry to be straightforward and quickly send its decision to the CMPO, so that he could further consult the Immigration Bureau and DSI.
Mr Satish sought help from the National Human Rights Commission on Friday, alleging rights violations by the centre. He told a crowd at Pathumwan intersection on Thursday he would now continue his activities despite the threat of deportation.