Oxfam says that some 670,000 people have left Syria since the crisis began in March 2011 but numbers have risen recently. In Jordan alone, the number of people crossing daily trebled in the past week.
The cold weather has seen an increase in the number of those suffering respiratory infections and pneumonia, according to the aid agency, which is distributing mattresses, blankets, heaters and gas oil to help new arrivals.
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Nurses had flagged up anxiety about the policies in 1991 and 1992.
It came as the US President said he would stop migrant family separations on America’s borders.
A report found that more than 450 patients at the Gosport War Memorial Hospital had their lives shortened.