Kershaw was placed on the injured list last month due to inflammation in his right SI joint, which connects the base of the spine to the hip bones. He hasn't pitched since a win over the Chicago Cubs on May 7.
Before getting shut down, Kershaw was in the midst of another dominant season. He began 2022 with seven perfect innings against the Minnesota Twins and holds a 1.80 ERA through five starts, striking out 32 batters and walking three in 30 innings.
Roberts also said there is "a good possibility" Max Muncy (left elbow inflammation) rejoins the team Thursday following a rehab stint at Triple-A Oklahoma City. The two-time All-Star, sidelined since May 25, figures to be used in a full-time role rotating between second base, third base and designated hitter. He has a .150 batting average in 41 games.
ESPN's Alden Gonzalez and The Associated Press contributed to this story.