Top seed Caroline Wozniacki and former World No 1 Venus Williams ensured Auckland Classic organisers' dream final remained on track with the duo both recording comfortable victories in their first round matches on Tuesday.
Djokovic is clubbed with Federer, Juan Martin Del Potro, David Goffin and Alexander Zverev.
List of French Open women's singles champions
Factbox on Wimbledon champion Marion Bartoli, who announced her retirement from tennis at 28 after a second round loss at the Western and Southern Open in Cincinnati on Wednesday.
List of French Open women's singles champions:
Serena Williams started her quest to join Chris Evert and Martina Navratilova in joint fourth place on the career Grand Slam list with a 6-3, 6-1 victory over 18-year-old fellow American Taylor Townsend at the US Open on Tuesday.
The 30-year-old is the first German woman to win Wimbledon since Steffi Graf in 1996.
Simona Halep became the first Romanian in 40 years to lift the French Open trophy at Roland Garros on Saturday.
Top ranked Serena Williams made a successful return to hard courts with a 6-3, 6-2 thrashing of former French Open champion Francesca Schiavone in the second round of the Rogers Cup on Wednesday.
Rafael Nadal returns to his favourite tournament, albeit not his preferred court, to begin pursuit of a record-extending 10th French Open title on Monday against Frenchman Benoit Paire.
List of French Open women's singles champions
Milestones in the progress of Chinese women's tennis after Li Na, the first Asian to win Grand Slam singles titles, announced her retirement from the sport on Friday.
Australia's Samantha Stosur failed to allay fears she could be heading for another early exit at her home Grand Slam with a scrappy performance in Hobart while a trio of big names tumbled out of the Sydney International on Monday.
All major sporting events in the Paris region were suspended on Saturday as France mourned the victims of the attacks in the capital city the night before that left 129 people dead and 352 wounded.
Sam Stosur powered into the French Open quarter-finals with a 7-6(0), 6-3 win against Simona Halep in Paris on Tuesday, adapting better to damp and heavy conditions than her higher-ranked Romanian opponent.
'I was trying to play every match like it was my last one. Trying to play best all the time' 'For me it is easy to practise and stay in this life but sometimes it is hard to compete'
Top seed Agnieszka Radwanska's title defence at the Sydney International lasted just 92 minutes when she was dumped out of the second round by Bethanie Mattek-Sands on Tuesday.
Images from Day 3 of the 2020 French Open at Roland Garros, in Paris, on Tuesday.
IMAGES from matches played on Day 4 of the French Open at Roland Garros on Wednesday
Jelena Ostapenko became only the sixth female Grand Slam champion to lose in the opening round of their title defence on Sunday when she lost to Kateryna Kozlova at the French Open.
Angelique Kerber's first Grand Slam match since winning the Australian Open in January ended in despair after she was beaten 6-2, 3-6, 6-3 by Kiki Bertens of the Netherlands in the French Open first round in Paris, on Tuesday.
IMAGES of the all the action from Day 1 of the Australian Open played at Melbourne Park on Monday
Second seed Garbine Muguruza, bidding to add the Wimbledon crown to her French Open title, was sensationally beaten in the second round on Thursday by Slovakian qualifier Jana Cepelova 6-3, 6-2 in the shock of the tournament so far.
Reigning French Open champion Maria Sharapova, former world number one Venus Williams and Australian Samantha Stosur sailed into the second round of the China Open with straight set victories on Sunday.