The governing body added on its website that the 22-year-old -- who has gone from strength to strength in recent months -- would fly back to Perth on Monday and undergo scans to assess the damage.
"He's obviously pretty shattered but he's trying to stay upbeat," teammate Nathan Lyon told reporters.
"It's very disappointing, especially off the back of the summer that Jhye's had.
"The way he's been performing has been pretty impressive. Fingers crossed he can be fit for the World Cup and be in the selection (mix) there."
Losing another quick bowler is a big blow for Australia barely two months out from the World Cup with Mitchell Starc and Josh Hazlewood also battling injuries.
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