Doctors operated on a dislocated right wrist fracture on Tuesday at the New England Baptist Hospital. The team said there is no timetable for his return.
"It's going to be a long time," coach Doc Rivers said. "Let's put it that way."
West crashed to the ground after a layup in last Wednesday's game against the New Jersey Nets. He remained on the court for a few minutes before walking off, holding his right arm in his left, still in obvious pain.
No foul was called on Travis Outlaw, who was guarding him.
West averaging 7.5 points in about 19 minutes per game since returning from a 10-game suspension for his guilty plea on gun charges.