Jedinak came off early in the second half of Palace's 4-1 League Cup win over Shrewsbury Town on Tuesday and his coach Alan Pardew feared his midfielder captain could be sidelined for some time.
"I'm a little bit worried about the skipper, he might have done a hamstring, but we'll have to wait and see," Pardew said in comments published by British media.
"We think he might have done something a little bit long-term, but we'll have to assess him in the morning."
Australia are due to play Group B rivals Bangladesh in Perth on Sept. 3 then away to Tajikistan on Sept. 8 in the second round of Asian qualifying for Russia 2018.
Australia won their opener away to Kyrgyzstan in June and are third in the group behind first-placed Jordan and the second-placed Central Asians.
(Reporting by Ian Ransom; Editing by Greg Stutchbury)
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