A source at the Prime Minister Office (PMO) confirmed the development, saying they will stop over at Chattogram first.
On Tuesday they will start from Chattogram to Bhashan Char on a Bangladesh Navy vessel, the source said.
In the first phase on December 4, some 1642 Rohingyas were transferred to Bhashan Char.
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'Alhamdulillah, more than happy with Bhasan Char facilities': Rohingya man
Bangladesh is hosting more than 1.1 million Rohingyas, most of whom came here from their homeland in Myanmar starting in Aug 2017. Bangladesh has been urging the global community to mount pressure on Myanmar for effective repatriation of the Rohingyas.
The government plans to shift some 100,000 Rohingyas to Bhasan Char in phases to provide them a better living place. Located 34 kilometers from the mainland, the island surfaced 20 years ago and was never inhabited.
Contractors say its infrastructure is like a modern township, with multifamily concrete homes, schools, playgrounds and roads. It also has solar-power facilities, a water supply system and cyclone shelters.