But, as in Adelaide, the fourth seed walked out to loud cheers and chants of "Nole", with vocal backing during the match from a stadium awash with Serbian flags.

"Thank you for giving me such a welcoming reception that I could only dream of," said Djokovic, who is chasing a record-equalling 22nd major title.

"I feel really happy that I'm back here in Australia and on the court where I have had the biggest success in my career.

"Definitely this court is the most special court in my life and I couldn't ask for a better start to the tournament."

He arrived at Melbourne Park in sizzling form after ending 2022 by winning another ATP Finals title, then followed that up by triumphing at the Adelaide International.

As if that wasn't daunting enough for 75th-ranked Carballes Baena, Djokovic came into the clash having won his last 21 Australian Open matches.

He opened with an ace, but didn't have it all his own way at first, needing to save three break points in the fifth game.

But he quickly settled and broke next game to love for a 4-2 lead and closed out the set.

His hamstring appeared to trouble him briefly when he slid for a shot at 2-2 in the next set, but he pressed on and broke again for 4-3 when Carballes Baena netted a forehand.

Djokovic stepped up a level as the clock ticked passed midnight in Melbourne and he immediately broke in the third set, with the Spaniard out of answers as the former world number one surged to victory.

"I'm very, very pleased with the way I played in the third set. I didn't give him too much chance to breathe from the back of the court," he said.

"I served very well. Second set was up and down and credit to him for fighting."

In Djokovic's absence last year, long-time rival Rafael Nadal won the title to claim a 21st Grand Slam which he stretched to 22 at the French Open.

Djokovic won Wimbledon to take his haul to 21 and he has made no secret about wanting more.

Extra motivation comes from attempting to become just the third player in history to win at least 10 titles at a single Grand Slam.

Only Nadal, with 14 at Roland Garros, and Margaret Court, who won 11 Australian Open singles titles, have more.