Campbell, who was the first alternate for the event, is the sixth PGA Tour player to test positive since play resumed this month.
"While the positive test result is unnerving, I am incredibly grateful to be asymptomatic and feel physically well and my thoughts are with anyone dealing with COVID, directly or indirectly," Campbell said in a statement. "I support the TOUR's protocol during this time and will be quarantining myself to protect others until I am well. I am looking forward to competing again once it is deemed safe for me to make my return."
Harris English, Nick Watney, Cameron Champ, Denny McCarthy and Dylan Frittelli are the other five players who have tested positive. In addition, the caddies for Brooks Koepka and Graeme McDowell contracted the virus last week.
The PGA Tour has a $100,000 stipend program for players who test positive and adhere to the Tour's health protocols.
“We have developed a program, a stipend program, for players on our tours, if they were to test positive during the week or during competition, and to be able to be eligible for those protocols, we’ve just reconfirmed for our players, you must follow our protocols in order to qualify for the stipend,” PGA Tour Commissioner Jay Monahan told reporters last week.
Monahan said the PGA plans to continue playing tournaments and deal with COVID cases on a week-by-week basis.