The team said Tuesday night that Gordon has a sprained right wrist and a small bone chip fracture. After exams by multiple doctors, it was determined he would miss three to four weeks.
Gordon is averaging 24.1 points, eighth-best in the NBA. He was hurt Saturday night in a victory over Golden State.
The Clippers had won 12 of 17 games going into their game against the Dallas Mavericks on Tuesday night.
"We have to get more out of everybody," coach Vinny Del Negro said before losing to Dallas 112-105. "Other guys have to step up. Of course, we can't go to Blake [Griffin] more than we already do."
Griffin entered Tuesday averaging 22.8 points per game, which was 12th-best in the league.
Randy Foye started in Gordon's place against the Mavericks. He scored 15 points and had four assists.
Information from The Associated Press contributed to this report.