Paine, who recently sparked controversy with a harsh remark directed at England's touring team, is hoping to play for Tasmania soon after beginning light training.
Smith was caught on stump camera trying to remove Pant's guard during the fifth day of the third Test at the Sydney Cricket Ground (SCG)
A video has emerged of a stump vision camera where Smith is seen rubbing the pitch with his shoe spikes, which many purported as him removing Pant's batting mark.
Australia skipper decided to walk back to the dressing as umpires called the end of the second session after Cameron Green, who scored 84, got out.
Apart from the two Tests of the four-match series, Warner had also skipped the entire ODI series after picking up the injury during the T20I series against India.
David Warner injured his groin during the second One-day International and had to miss the last ODI as well as the subsequent T20I series and the first two Tests.
The Australia captain also heaped praises on the Indian batsmen for executing plans better than the Aussie batsmen have been.
Tim Paine had scored an important unbeaten 73 under pressure against India in the first Test at the Adelaide Oval to take his side within 53 runs of Indian total.
KL Rahul and Rishabh Pant could come into the touring team as replacements after India's dubious defeat in the first Test in Adelaide.
Tim Paine also said that even though David Warner will miss the opening Test, the team would not be dissimilar to what it looked during the 2019-20 season.
