Miss Witheridge, 23, and David Miller, 24, were found with severe head wounds near to where they were staying on the island of Koh Tao, on September 15.
Police said three Burmese workers were detained and one admitted killing the tourists during the investigation.
The island has a large community of migrants workers from nearby Burma, also known as Myanmar.
Deputy national police chief General Jaktip Chaijinda told Reuters: 'The investigation has advanced considerably.'
'Three Burmese workers were detained and we took their DNA for testing. During the investigation one of them admitted to killing the two foreigners,' he said.
Police had been under pressure from the government to solve the case as Thai authorities warned the killings would damage the country's tourist industry.
Jaktip said the man who had confessed was being detained but had not been arrested.
'We still have to wait for DNA tests results which we expect to have in 14 hours from now in order to confirm this,' he said.
Posted by Unknown on Thursday, October 2, 2014 - Rating: 4.5
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