Published: 2017-09-12 10:45:19 BdST
The meeting would likely be held on Wednesday, diplomats said.
"I think it will be a private meeting but with a public outcome of some form," British UN Ambassador Matthew Rycroft told reporters on Monday.
"It's a sign of the significant worry that Security Council members have that the situation is continuing to deteriorate for many Rohingya who are seeking to flee Rakhine state in Burma and move into Bangladesh," Rycroft said.
The US said the violent displacement of Rohingya Muslims in Myanmar showed the country's security forces were not protecting civilians.
"We call on Burmese security authorities to respect the rule of law, stop the violence, and end the displacement of civilians from all communities," the White House said in a statement on Monday.
The United Nations' top human rights official slammed Myanmar earlier on Monday for conducting a "cruel military operation" against Rohingya Muslims in Rakhine state, branding it "a textbook example of ethnic cleansing."
The Security Council discussed the situation behind closed doors on Aug. 30. In a rare letter to the council earlier this month, Secretary-General Antonio Guterres expressed concern the violence could spiral into a "humanitarian catastrophe."
Rights groups informally briefed Security Council diplomats on the Myanmar violence on Friday. Russia and China did not send any diplomats, according to people at the meeting. Myanmar has said it is was counting on China and Russia to protect it from any Security Council censure.