According to the Celtics Twitter page, Doc Rivers says BBD will go on the West Coast trip (after Christmas) and he could possibly play then.
Here's some additional info, courtesy Boston.com:
and he wasn't just doing conditioning drills. The Celtics big man was
shooting with his left hand, and he even took a couple of shots with
his right hand. He's down to a smaller cast on his broken right thumb
than the one he originally had after the injury.
"I could probably make three of five shots with that hand," Davis said. "Probably not good enough for the game."
Davis said he has no restrictions on his workouts right now, but
obviously he won't be able to return to basketball until his cast is
removed. He says he can eat and even type with his broken right hand
now with the new cast. Davis also said he is in shape (though Rasheed
Wallace jokingly denied it at the next locker) and said he feels
lighter than he has felt in the past.
He says he feels he is in game condition, but that decision will obviously rest with Doc Rivers.
"The Bic Mac Attack will be back soon," said Davis. "Soon."