Shaun, 31, will join the original 12-man squad in Adelaide, where the rescheduled four-Test series begins against India on Tuesday.
It is not yet clear if any of the Australian squad will withdraw from the Test, with emotions still raw following Phillip Hughes' tragic death last week.
"We hope the boys can find the inner strength to play the game in the way Phillip would have wanted in Adelaide next week and that they can honour what he had done," coach Darren Lehmann wrote in a column for The Australian on Thursday. “It's going to be hard and if somebody is struggling Michael [Clarke] and I understand. There is no pressure on them.”
Shaun joins his brother, Mitch, in the squad and the two are one step closer to playing together in a Test match.
Shaun and Mitch, sons of 50-Test batsman Geoff, could become the first brothers to play in an Australian Test side since Mark and Steve Waugh in 2002.
"It would be huge," Shaun said last month. "From a young age, we've both wanted to play Test cricket."
Mitch will play his first Test at home next week, having made an impressive debut against Pakistan in October.
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