It is not the first time that tournament officials have offered an invitation to one of the Bay Area's biggest sports figures. Former San Francisco 49ers wide receiver Jerry Rice made three appearances in the event, missing the cut each time.
Curry has previously spoken about his ambition to become a professional golfer after his career in basketball is over.
"I've thought about it," Curry said on former Ryder Cup player David Feherty's Golf Channel programme.
"I'm very sensitive to the experience of the PGA Tour guys out there who have dedicated their life to what they do, just like I have with basketball.
"I don't think I could, obviously, just jump out there; it'd be a lot of work that would go into it," he said.