Uncapped spinner Matthew Kuhnemann has been called up to the Australia squad ahead of the second Test against India in the absence of Mitchell Swepson.

Swepson, who did not feature in a crushing innings-and-132-run defeat in the first Test in Nagpur, has decided to fly home as his wife is due to give birth.

Left-arm tweaker Kuhnemann could make his Test debut at the age of 26 when the tourists set about trying to level the four-match series at the Arun Jaitley Stadium on Friday.

The 26-year-old, who made his ODI bow against Sri Lanka last June, has only played 13 first-class matches for Queensland but may get the nod in Delhi.

He said after playing for Queensland against Victoria in the Sheffield Shield: "I was just lucky enough that my passport was in my bag.

"I watched every day [of the first Test] just being such a fan. These series are so good to watch. Todd Murphy was exceptional and sort of watched how [Ravindra] Jadeja bowled. So just really excited to get over there.

"I was fortunate enough to stay with the Test guys and bowl to them in the nets in Sri Lanka so that's still pretty fresh in my memory. I learned heaps just being over there for a couple of months. If I got the opportunity I'd like to think I'd be okay."

India all-rounder Jadeja was named player of the match after taking 5-47 in the first innings and 2-34 as Australia were skittled out for only 91 on day three of a one-sided first Test, while he also made 70 with the bat.

The performance of spinner Murphy, who claimed 7-124 on debut, was one huge positive in a dismal start to the tourists' bid to win the Border-Gavaskar Trophy.