Vishwajit Rane said the proposal would be placed before the CM in the next couple of days, in order to stall any surge in cases in Goa.
Vishwajit Rane said new standard operating procedures could be created for the state, adding that the decision would be taken after his meeting with the CM.
Goa Health Minister Vishwajit Rane said despite repeated appeals to wear masks and practise social distancing, people have not been taking precautions.
Earlier in the day, a senior Goa health department official said that in a letter sent to the state government on Thursday, the Union Health Ministry asked it impose COVID-19 restrictions.
The Health Minister also said that RT-PCR testing of 979 passengers, who came to Goa from the UK after December 9, is currently going on.
Officials said there is a surge in test requests from people of Maharashtra who have been holidaying here.
The move of administering plasma and giving medicines like remdesivir and steroids is leading to good recoveries among the COVID-19 patients at the state-run facilities, he said.
In a Facebook post on his account, Rane appealed to people not to accept friend request from the "fake account".
Goa health minister Vishwajit said encouraging tourism, a major part of the state's economy, under the 'unlocking' process was important but violation of social distancing norms cannot be allowed.
Rane said the move was to make more people come forward to donate plasma, a therapy which he added was showing good results in treating COVID-19 patients.
The other two designated treatment facilities, ESI Hospital in Margao (South Goa) and Sub District Hospital in Ponda (North Goa), will treat asymptomatic patients or those with moderate symptoms.
Till Tuesday evening, 1,53,792 tests were conducted in Goa. So far, 9,444 COVID-19 cases have been reported in the coastal state, as per official figures.
The Congress, which is the single-largest party with 16 MLAs, has staked claim to form the government in the coastal state.
Goa government firm on state-run hospitals charging outstation patients: Health Minister Vishwajit Rane
Despite criticism, the BJP-led Goa government is committed to charging outstation patients availing facilities at state-run medical facilities, Health Minister Vishwajit Rane said on Saturday.
Goa Health Minister Vishwajit Rane on Saturday said that people in Goa will not be treated in hospitals if they do not show a valid ID proof.