The move to have Lee in the Commonwealth Bank Centre of Excellence (CBCE) Academy team is aimed at giving the seamer a chance to get some valuable match practice ahead of the four-match Test series between India and Australia in October-November.
In India, Lee will also be training with Javagal Srinath to gain experience of bowling on the sub-continent pitches.
"Last year, Lee didn't have the build-up, when he went straight into Shield cricket and then to Tests (in December and January) after his surgery in October," head bowling coach at the CBCE in Brisbane, Damien Fleming was quoted as saying by local daily Sydney Morning Herald in Sydney on Tuesday.
"This time he has had a longer recovery and a longer build-up. From a body perspective, the way he has gone about it this time has given him more time to be ready.
"I saw him at the weekend, and the most pleasing thing is that his deliveries are definitely coming through with pace and bounce and a little bit of an away swing and his ankle is not giving him any pain."