Chris Lewa, director of the nonprofit advocacy group Arakan Project, said there has been a huge surge since October 15, with an average of 900 people per day piling into cargo ships parked off Rakhine state.
That's nearly 10,000 in less than two weeks, one of the biggest upticks yet.
Myanmar, a predominantly Buddhist nation of 50 million that only recently emerged from half a century of military rule, has an estimated 1.3 million Rohingya.
In the last two years, attacks by Buddhist mobs have left hundreds dead and 140,000 trapped in camps, where they live without access to adequate health care, education or jobs.
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Lewa said some Rohingya families have been told new ships have started arriving in neighboring Thailand, where passengers often are brought to jungle camps, facing extortion and beatings until relatives come up with enough money to win their release.
From there they usually travel to Malaysia or other countries, but, still stateless, their futures remain bleak.
According to villagers contacted by The Associated Press, some were confined to their villages for weeks at a time for refusing to take part in the "verification" process, while others were beaten or arrested.
But there seems to be a growing sense of desperation this year, with numbers nearly double from the same period in 2013. Lewa said a number of Rohingya also were moving overland to Bangladesh and on to India and Nepal.
Lewa said three of the men died.
"Our team is becoming more and more convinced that this campaign of arbitrary arrests is aimed at triggering departures," she said.