The paceman has been troubled by the ankle for a while but decided to have an operation after he was forced out of the tour of India.
Australia coach Tim Nielsen said it would be a challenge for Brett Lee to make his comeback in Test cricket.
Sacrificing pace for a longer career is not an option for Brett Lee despite the injury breakdowns he has endured and the Australian fast bowler on Thursday said he would work out a plan to sustain himself if it becomes too hard to handle.