Public Health Minister Anutin Charnvirakul has indicated there are no plans for Thailand to seek the return of the Nigerian monkeypox patient from Cambodia.
Mr Anutin said on Sunday he expected the man to receive treatment in Cambodia. "It's good to see him treated there," he said.
The patient is being treated in Phnom Penh, according to the Khmer Times.
The 27-year-old Nigerian left Phuket before two lab tests conducted on Monday and Tuesday confirmed the country's first monkeypox case.
He was not at his condominium in Phuket on Monday when health personnel went to get him.
He crossed the border in Sa Kaeo to Cambodia on Friday and was arrested at a market in Phnom Penh on Saturday.
He could be charged with overstaying in Thailand if authorities wanted Cambodia to hand him over. He entered Thailand on Oct 21 and stayed at Patong beach.
In Phuket, 19 people were considered a high-risk group due to their close contact with the patient.
Health officials were waiting for lab tests from 17 of them, while tests on two people were negative.