The Lakers say Young had successful surgery Monday.
He tore the radial collateral ligament in his right thumb last week in training camp while guarding Kobe Bryant during a drill.
Young was the Lakers' leading scorer last season, his first with his hometown team. He scored 17.9 points per game while mostly coming off the bench, entertaining Lakers fans with his freewheeling style during the club's worst season in a half-century.
Young re-signed with the Lakers in July, agreeing to a four-year, $21.5 million deal.