Mitchell Starc would like to be "further down the road" with his recovery from a finger injury but the Australia quick feels he has a "good chance" of being fit for the second Test against India.

Starc has been out since suffering an injury blow during the victory over South Africa in the Boxing Day Test.

The left-armer joined up with his team-mates in Delhi as they prepare for a second Test that starts at Arun Jaitley Stadium on Friday following a hammering by an innings and 132 runs in the opener in Nagpur.

Starc's injury has not healed as quickly as he had hoped, but the paceman thinks he could still make his return when the tourists attempt to hit back in the battle for the Border-Gavaskar Trophy.

He said: "There's still a fair bit of restriction there. Still lacking a bit of strength having been in a splint for six weeks.

"But it's progressing - not as fast as I would have liked, but it's as planned in terms of the medical stuff. There's a few boxes to tick, but it's on track.

"I'd like to be a little further down the road.

"Still a good chance. It'll come down to how it reacts by the end of the day, how the medical staff see it, how the selectors and Pat [Cummins] and Ronnie [Andrew McDonald] feel about it as well.

"I'll do everything I can to be fully available for selection. Then it's a discussion for the rest of the group involved."

All-rounder Cameron Green is also hoping to make his comeback in the second Test after being sidelined by a broken finger.

Batter Shreyas Iyer is back in the India squad after recovering from a back injury.