Officials plan to open a shelter for them in Miami today.
If they open a shelter for 200 people, that would fill up, too, and so on.
City officials have also been considering opening a large public shelter.
So far one church has agreed to open a shelter and two others are studying the plan.
Past plans to open shelters have been stalled by the board.
Officials opened several shelters in the area where the storm struck.
The first medical staff arrived in 1949, opening a small shelter and clinic.
In September, the government opened a temporary shelter for victims of forced labor.
Only the churches can legally open a shelter for them.
The Red Cross opened a shelter in a nearby school.