After the calf injury to Finch Australia called up middle-order batsman and occasional wicketkeeper Peter Handscomb with some speculating Travis Head may open with David Warner.
Cartwright opened the batting in Australia’s warm-up win but was dismissed for a second ball duck.
Smith however was insistent that Travis Head would be batting at number four leaving Cartwright the likely choice to open.
Speaking from Chennai Smith said: “I’d say Travis will probably bat four.
“I won’t give too much away other than that.
“We’re going to have a look again tomorrow at the wicket and see what’s the best. There might be a bit of rain around so it gives us a chance to have a look at that and then name our XI.
“It just depends on the conditions. We’ve got a spinning allrounder, we’ve got allrounders who take the pace off the ball so we’ve got a few different options.”
Cartwright opening would preserve a left-right opening partnership with other candidates like Head and Ashton Agar being left-handed.
Smith feels the Chennai surface is likely to be full of runs and highlighted the importance of big runs from the top order.
He would add: “It’s important for someone in the top four to go on and make a big score and we’ve got the guys in there to do that.
“We saw the last time we came here in 2013 it was a run-fest where 350 was around par. So if the wickets are the same you need someone to go on and make a really big score.”