Nabbout was forced off in the second half of the clash at the Samara Arena, and it had been thought that the 25-year-old would miss Australia's decisive Group C fixture with Peru on Tuesday afternoon.
However, the Urawa Red Diamonds forward has insisted that he could still recover from the injury in time, having picked up the same problem while representing his club earlier this year.
"They say the second time is a little bit quicker," Nabbout told reporters. "I will be right... it's fine now, there is no pain. I'll start rehabbing it and see how we go from there.
"When I landed on it, it was in an awkward position and popped out - nothing I haven't felt before. I have always got positive thoughts on my mind. Hopefully if I rehab it quick enough, anything can happen, I rehabbed pretty quick from the last one."
Australia must beat already-eliminated Peru and hope that Denmark lose to France on the final matchday in order to book their spot in the last-16 stage of the competition.