Australia coach Justin Langer is hopeful that Cameron Green could be available to make his Test debut in Thursday's first Test against India in Adelaide.

Green suffered a mild concussion and was subbed out of the Australia A game against India when he was struck on the side of the head by a fierce straight drive from Jasprit Bumrah.

Green flew to Adelaide on Monday with the Test squad members who were involved in the Australia A game that concluded on Sunday in Sydney. The selectors also called up Moises Henriques to join the Test squad on Monday as cover for Green.

Langer met with Green after he arrived and said on Monday night that he was optimistic about his availability.

"Fingers crossed," Langer told Channel Seven. "The guys from Australia A arrived a couple of hours ago. He turned up with a big smile on his face. [There's a] massive opportunity potentially ahead for him to make his Test debut. He looks in really good spirits. He's got training tomorrow and Wednesday. Fingers crossed he'll be right to go - he's a real talent."

Langer would not be drawn on who would open the batting, given the form issues of Joe Burns and the absence of David Warner and Will Pucovski.

"Wait and see on Thursday," Langer said. "We've got a very got team no matter which way we go.

"Dave Warner no doubt was a huge loss for us a few weeks ago, but I'm really confident that we've got enough batting to make a big difference in this series."

The majority of the Australian squad that didn't play at the SCG held a rare centre-wicket practice on the Adelaide Oval under lights.

"It was almost a luxury," Langer said. "To be under lights, centre-wicket - it was a real treat for us. There's some life in the wicket though, so it should be a great Test match."