"Some were hoping to continue on to Malaysia, Indonesia or other third countries."
Myanmar, a predominantly Buddhist nation, has been gripped by sectarian violence in the last year.
Many of the 240 people killed and 240,000 others forced to flee their homes have been Rohingya, described by the United Nations as one of the most persecuted religious minorities in the world.
Dan McNorton, a spokesman for the U.N. High Commission for Refugees, warned that this year's exodus of desperate people from Rakhine could be one of the biggest ever.
Around 1,500 people are believed to have fled, just in the last week, he said.
The agency had received several reports of drownings and was seeking details from authorities.