Djokovic underwent treatment on his left leg during Saturday's semi-final victory over Daniil Medvedev after he hyper-extended his left hamstring while stretching to make a forehand.
But the 35-year-old moved freely on the court in Sunday's final before he dug deep to save a match point and seal a 6-7(8) 7-6(3) 6-4 victory.
"I woke up all right. Went deep into the night last night with work done with the physio," Djokovic told reporters. "Talk with the doctors, as well, of the tournament, etc.
"There was a lot of care going into today's match about the hamstring. It was all right.
"Few times in the match I felt was tightening up the muscle, but nothing that would worry me for my performance."
At the Jan. 16-29 Australian Open, Djokovic will be bidding for a record-extending 10th title to draw level with Rafael Nadal on 22 Grand Slam crowns.
"I couldn't ask for a better preparation and lead-up to Australian Open," Djokovic said.
"I look forward to Melbourne. Rod Laver is probably my most -- not probably, it certainly is my most successful court in my career. I love playing there. I look forward to it.
"I have a week off for recovery now and working on specific things in terms of my game, my body, getting my mind in the right state for the best-of-five and two long weeks hopefully."
