The Lakers announced Henry's injury Monday, and the team believes the tendon is torn.
Henry is undergoing an MRI exam to confirm the tear.
Henry has played in nine games for the Lakers this season, his second with the club. He struggled with an injury to his surgically repaired knee throughout the preseason, undergoing treatment in Germany to speed his recovery.
Henry was limited to 43 games with Los Angeles last year after injuring his knee in December. He also had surgery on his left wrist during the offseason.