Wood, who hasn't pitched since May 30, has a 3.99 ERA and 62 strikeouts in 56 1/3 innings this season.
With Wood, Kershaw and Ryu all out, the Dodgers will continue to rely on rotation stalwarts Kenta Maeda and Scott Kazmir, as well as the newly healthy Brandon McCarthy, the newly acquired Bud Norris and the newly recalled Julio Urias.
Manager Dave Roberts said that his feelings about Wood's setback go beyond concern about the rotation.
"It's more of just being disappointed for Alex," Roberts said. "He was pitching so well before he got hurt initially. He had such high hopes for the season, and to come back and want to contribute and have another setback was very disappointing for all of us."
Though Roberts hopes Wood can pitch again this season, he is unlikely to return to the rotation and would more likely find a role in the bullpen down the stretch.
"Come September ... [it's an] 'all hands on deck' situation, so we're definitely not writing Alex Wood off," he said.
Alex Putterman is a reporter for MLB.com based in Washington. This story was not subject to the approval of Major League Baseball or its clubs.