Lee, however intends to return to his Punjab Kings XI franchise upon receiving medical clearance from Cricket Australia.
"From a security point of view he'd prefer to be spending the time waiting in Sydney rather than Chandigarh," Lee's manager, Neil Maxwell, said.
Lee has been training in India under the guidance of former NSW physiotherapist Pat Farhart and has been in contact with CA's medical team since his retirement from Test cricket last month, The Age reports.
CA said the trip home was part of a plan to ease the fast bowler back to fitness before the final squad of 15 was named for the ICC World Twenty20, which starts next month.
Shaun Marsh, who missed the New Zealand tour with a bulging disc, is also awaiting the green light from CA to join the Kings XI.
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