Murphy was hurt in the fourth quarter of Golden State's overtime victory Tuesday night when Zach Randolph's forearm hit him in the face.
Murphy, who scored 14 points, underwent surgery Wednesday in Los Angeles, where the Warriors play exhibitions over the next two nights. The Warriors will re-evaluate Murphy's condition when the team returns to the Bay Area over the weekend.
Murphy averaged 14 points and 10 rebounds last season, his fifth with the Warriors. After playing power forward throughout his NBA career, the former Notre Dame star is expected to be new coach Don Nelson's starting center in his small-ball scheme.