Darvish (neck) threw a bullpen session Wednesday, MLB.com reports.
The Padres placed Darvish on the 15-day injured list Wednesday with neck tightness.
Darvish did not factor into the decision Sunday against the Dodgers, allowing three runs on four hits and two walks while striking out two over five innings.
Darvish (0-1) was handed the loss Tuesday against the Cardinals, allowing three runs on five hits and a walk across seven innings. He struck out six.
Darvish (0-0) didn't factor into the decision Thursday, giving up one run on five hits and a walk over five innings against the Giants. He struck out seven.
Darvish will start for the Padres on Thursday versus the Giants in the team's domestic opener, Dennis Lin of The Athletic reports.
Darvish tossed 3.2 innings against the Dodgers in a no-decision in South Korea on Wednesday, allowing an unearned run on two hits and three walks while striking out three batters.
The Padres announced Monday that Darvish will serve as the team's Opening Day starter March 20 against the Dodgers in Seoul, South Korea.
Darvish (elbow) threw another live batting practice session Friday and expects his next outing to be in a Cactus League game, Dennis Lin of The Athletic reports.
Padres manager Mike Shildt said last week that Darvish (elbow) will have no limitations in spring training, Kevin Acee of the San Diego Union-Tribune reports.