World number four Stefanos Tsitsipas is hopeful he will be "performing at 100% at the Australian Open".
Greece's Tsitsipas was beaten 6-7 (5-7) 6-3 6-3 by Argentine Diego Schwartzman at the ATP Cup in Sydney in his first singles match since elbow surgery.
Tsitsipas, 23, was "in a lot of pain" after playing in the doubles on Saturday, but after Monday's loss he was only "in a little bit of pain".
The Australian Open starts on 17 January in Melbourne.
"That is enough [time to recover], I believe," he said. "But I haven't had [this kind of injury] before, so I don't know.