Testing at the Legends Center and Regency Square Mall are scheduled to close Thursday at the end of the business day.
The City said the decision was made by the State because many people working the site are from out of town.
The First Alert Weather Team said the North East Florida area could see some heavy rain and gusty winds from a tropical disturbance in the Caribbean by late this weekend or next week if it comes this way.
A decision on closing the six city-run sites have not been made.
As for lab results, the City said there should not be a delay, and they do not believe the labs will have to close.