The Cavaliers, who have the league’s worst record at 1-10, were already playing without All-Star forward Kevin Love (toe surgery).
Cleveland’s first-round pick, point guard Collin Sexton, will continue in the Cavaliers’ starting lineup. He scored a team-high 15 points in a career-high 42 minutes in the loss to the Thunder.
Hill, 32, had his best game of the season in the loss to Orlando on Monday, scoring 22 points. He was a late scratch from Wednesday’s loss to Oklahoma City with the shoulder injury.
Hill is averaging 12.6 points, 3.0 assists and 1.9 rebounds.