"He (Harris) is the in-form player of the competition and has an outstanding record over the last two years. I would have liked to have got (Matt) Renshaw in there, but he hasn't scored enough runs," Lehmann told Macquarie Sports Radio.
Chappell said the batting mainstay should not be as involved in field placements
Smith and Warner have returned from year-long bans following a ball-tampering scandal in South Africa which also prompted Lehmann to step down as coach of the side in March last year.
Michael Clarke and Simon Katich famously clashed physically in the dressing room when they were Test players and this week they have become embroiled in a verbal disagreement over Australia's commitment to be less aggressive on the pitch.
Darren Lehmann, the Australia coach during the infamous ball-tampering scandal, feels then captain Steve Smith shouldn't have turned a 'blind eye' to the ill-fated plan during the Cape Town Test against South Africa.
The India captain says he has learnt from his past experience and does not expect to get involved in any confrontation with the Australians during the upcoming four-Test against Australia.
Tensions flared-up towards the end of Day 3 on Sunday with none other than the two captains, Virat Kohli and Tim Paine, exchanging verbal volleys.