Jumbe Omari Jumbe, spokesperson of the International Organization for Migration, said the authorities in Iraq's autonomous Kurdistan region had imposed a daily quota although it has not been applied to the letter.
"Today, they will allow 3,000 persons in, though yesterday a similar quota was also set, of 3,000, but at the end of the day, 5,000 refugees were allowed to cross," he told reporters in Geneva.
Aid agencies have scrambled to get emergency supplies to the border zone and transport the refugees to camps deeper inside Iraqi Kurdistan.
UN refugee spokesperson Dan McNorton said between 2,000 and 3,000 people were thought to be waiting to cross Tuesday, but that the numbers on their way were unclear.
