Four other foreigners and a Thai guide also died while staying in the popular tourist destination between January 11 and February 19 of this year.
A final decision on the cause of deaths and illnesses was expected to be made by the official information team after consultation with the eight-member panel of experts.
The Thai Public Health Ministry said the investigation was pursuing viral, toxin and chemical causes.
Ms Carter's father, Richard, told the newspaper that he had received a call from the Foreign Affairs and Trade Ministry advising there would be new information on its way, but he was sceptical about what it might reveal.
"To get proper answers into what happened, we needed better tests done earlier," Mr Carter said.
A theory that the tourists died as a result of exposure to insect control chemical chlorpyrifos has been dismissed by Thai authorities.
Experts said chlorpyrifos generally emits a strong odour, which was not reported by those who fell ill, and is not usually fatal unless ingested or inhaled in very large quantities.
- NZPA