The factory Yamaha rider lost his title to Australian Casey Stoner at Phillip Island on Sunday, the Repsol Honda rider winning his home race and taking the championship after nearest rival Lorenzo crashed during the morning warm-up session and suffered the injuries to his left hand.
The Spaniard underwent plastic surgery to his ring and middle fingers on his left hand and will miss next Sunday's race at Sepang in Malaysia.
A decision has yet to be taken over whether Lorenzo will contest the final race of the season at Valencia in Spain two weeks later.
Lorenzo said: "I am very proud of my team for all the hard work they have put in to take second in the championship.
"Now we have to think about next year and work as hard as possible to win again.
"After the crash I was very worried that I would not have full feeling in my finger again.
"After the excellent treatment I received I have been assured I will have complete feeling in nerves and tendons."