The council will hold a meeting on Tuesday to hear UN High Commissioner for Refugees Filippo Grandi report on the crisis sparked by an army crackdown in Myanmar's Rakhine state in August.
Sweden, Poland, the Netherlands, Kazakhstan and Equatorial Guinea requested the talks along with the three permanent council members.
The meeting comes nearly three months after the council adopted a statement demanding that Myanmar rein in its security forces and allow the Rohingya to return to their homes.
Bangladesh and Myanmar agreed last month to repatriate the Rohingya over a period of two years, but the United Nations has expressed concerns after the UN refugee agency UNHCR was kept out of the agreement.
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The General Assembly in December adopted a resolution asking Secretary-General Antonio Guterres to name a special envoy to Myanmar, but that appointment has yet to be made.
China, a supporter of Myanmar's former ruling junta, and Russia voted against the resolution. Both hold veto power at the council.
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