Djokovic goes on to face Australian ninth seed Alex de Minaur for a place in the semi-finals.
Seven-time champion Djokovic comes up against Danish 15th seed Holger Rune, who has beaten him twice.
Novak Djokovic reached the Wimbledon fourth round for the 16th time on Saturday after taking a break to help the Centre Court crowd celebrate England's Euro 2024 win over Switzerland in Germany.
An error-strewn Novak Djokovic kickstarted his bid for an 11th Australian Open and unprecedented 25th Grand Slam crown in unconvincing fashion on Sunday, dropping a set to fearless teenage qualifier Dino Prizmic.
"Botanical Gardens just nearby, it's a wonderful park where I like to spend time and just be by myself in nature, just grounding, hugging trees."
Serbia are one of the eight surviving nations from September's group phase and will face Britain on Thursday.
Djokovic will spearhead Serbia at the tournament from December 29-January 7 in Sydney and Perth as he builds towards the defence of his Australian Open title.
World number one and US Open winner Alcaraz, playing only his fourth grass-court tournament, defeated Daniil Medvedev 6-3, 6-3, 6-3.
Novak Djokovic will play Stan Wawrinka for the 27th time in a storied rivalry when they clash on Friday but surprisingly they have never played each other on grass, let alone at Wimbledon.
Five top contenders for the men's title at the Australian Open, which starts on Monday:
Novak Djokovic said he felt "emotional" following a warm reception from fans upon his return to Melbourne Park for a practice match against Nick Kyrgios on Friday.
Australian Open spectators were warned on Wednesday that they risk being ejected if they target nine-time champion Novak Djokovic.
Tennis fans gave Novak Djokovic a raucous welcome during his first match in Australia in almost two years when he made a rare doubles appearance at the Adelaide International on Monday.
Novak Djokovic said he wants his biggest rivals to be by his side when he brings the curtain down on his career, much like Roger Federer's emotional goodbye to the game last week.
Novak Djokovic paid tribute to his long-time rival Roger Federer on Friday, hailing the "incredible moments and battles" the pair shared on court.
Rafael Nadal set up a blockbuster French Open quarter-final against world number one Novak Djokovic on Sunday when he defeated Felix Auger-Aliassime in a five-set fourth round epic.
Top seed Novak Djokovic described his straight-sets opening win over Gael Monfils in Madrid on Tuesday as his "best performance of the year" as he set up a showdown with Andy Murray.
Many athletes are putting a brave face on the coronavirus lockdown, converting garages and bedrooms into home gymnasiums and posting cheerful videos of themselves on social media keeping fit by "bench-pressing" their children.
Rafael Nadal booked his semi-final spot at the Mexico Open by battling past Yoshihito Nishioka in straight sets, while top seed Novak Djokovic suffered another stunning exit in a shaky start to 2017.