The verdict was reached Tuesday afternoon.
The pause was issued by a federal judge just minutes before the freeze was set to take place.
The county says they are aware of the issue and working to make sure that the building stays secure.
The arrests are part of ongoing efforts to tackle immigration by the Trump administration.
The federal funding freeze is expected to take place on Tuesday.
The measles case involves an unvaccinated metro Atlanta resident and they are believed to have contracted the virus while within the U.S., the health department said.