San Diego manager Bud Black said that Correia's college-aged younger brother passed away sometime Saturday.
Correia informed Black of the death following Saturday's game.
According to Black, Correia took an early flight back to San Diego on Sunday. It's not known when he'll rejoin the team, but Black said that for the time being, the bereavement list won't be utilized.
"We're sorting through that," Black said. "Things will become more clear when we get to San Francisco and we know how Kevin's doing."
As of Sunday at noon CT, Correia's agent, Barry Axelrod, said he hadn't spoken to his client.
Axelrod was informed of the death of Correia's brother late Saturday, when he received a phone call from assistant general manager Fred Uhlman Jr., who is on this road trip.
The death "was an accident, as far as I know," said Axelrod.
The Padres are off Monday and open a three-game series in San Francisco on Tuesday. Tim Stauffer got the start in place of Correia.
Corey Brock is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.