"Perhaps about a thousand or more are already dead," said Yanghee Lee, the UN special rapporteur on human rights in Myanmar.
"This might be from both sides but it would be heavily concentrated on the Rohingya population."
In the last two weeks alone 164,000 mostly Rohingya civilians have fled to Bangladesh, overwhelming refugee camps that were already bursting at the seams.
Others have died trying to flee the fighting in Rakhine state, where witnesses say entire villages have been burned since Rohingya militants launched a series of coordinated attacks on August 25, prompting a military-led crackdown.
The figures given by Lee, a South Korean academic, in an interview in Seoul, are far higher than official tolls, which total 475.
In updated figures released by the authorities on Thursday, Myanmar said 6,600 Rohingya homes and 201 non-Muslim homes had been burned to the ground since August 25.
They added some 30 civilians had been killed -- seven Rohingyas, seven Hindus and 16 Rakhine Buddhists -- in the fighting.
But Lee told AFP that "it's highly possible that it's underestimated numbers".
"The unfortunate thing, the serious thing is that we can't verify that now with no access.
"I think that it's going to be one of the worst disasters that the world and Myanmar has seen in recent years.
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