The winner will face Democratic U.S. Sen. Doug Jones in November.
During the press conference, it was announced that a student and a nurse both tested positive for the coronavirus.
Events and meetings where more than 10 people will be present are canceled until at least April 7.
For those that have a lot of interaction with the public, that may include deep cleaning and disinfecting.
"We're trying to be as safe as possible. We want to try to make sure that we keep the citizens safe. We try to keep our officers safe," said Eaves.
Major Ray Morton said staff is working hard cleaning the facility.
Spruill said restaurants in Starkville are now being provided reserved parking spots for customers to park and receive their food.
It could be a bigger hassle for senior citizens and families to get out to the supermarket and navigate through the large crowds.
Youth baseball and softball practices, soccer games and practices, classes and activities and park rentals were also suspended.
In a meeting Tuesday, emergency management leaders in Lowndes County announced a new protocol for first responders during an emergency.