Asked if she could have all her titles and Venus all hers without having ever had to play each other, Serena said she would happily accept that deal.
Williams, who played an exhibition match last December in the United Arab Emirates, where she lost to French Open champion Jelena Ostapenko, said in addition to working on her serve and returns, she needs to manage her time better now that she has her daughter in tow.
American Serena Williams won her fourth Wimbledon singles title on Saturday when she crushed Russian 21st seed Vera Zvonareva 6-3, 6-2 in the final at the All England Club.
Andy Roddick and Serena Williams scored contrasting wins to enter the Australian Open quarterfinals.
Serena Williams roared into a her seventh Wimbledon singles final with a 6-3, 7-6 victory over Victoria Azarenka on Thursday. She will face Poland's Agnieszka Radwanska in Saturday's final.
A pep talk from dad Richard and a timely downpour over Roland Garros rescued Serena Williams from an embarrassing first-round exit at the French Open on Sunday.
A subdued Serena Williams recovered from a sluggish start to beat China's Zheng Jie 6-7, 6-2, 9-7 in a marathon Wimbledon third-round match on Saturday.
Sania Mirza and Bethanie Mattek set up a quarter-final clash with American sisters Venus and Serena Williams after getting past the Uzbek-Belarussian pair of Akgul Amanmuradova and Darya Kustova in the third round of Wimbledon Championships.
A summary of Wednesday's action at the US Open on Day 3.
Since having a child and returning to the WTA Tour Serena Williams's focus has been split between raising a family and work.
Serena Williams blamed an "apple in her throat" for her failure to reach the final of the Italian Open after Jelena Jankovic came back from the brink against the American in Rome on Friday. Jankovic saved a match point before pulling off a thrilling 4-6, 6-3, 7-6 win over the world number one to set up a showdown with Spaniard Maria Jose Martinez Sanchez, a 6-4, 6-2 winner over former French Open champion Ana Ivanovic.
Serena Williams fought off two match points on her way to an epic 0-6 7-5 6-3 comeback win over world number one Justine Henin to claim her fourth Sony Ericsson title on Saturday.
Serena Williams crushed top seed Maria Sharapova 6-1, 6-1 to reach the last eight.
Venus Williams will replace sister Serena, who suffered an ankle innjury, in the Fed Cup tie against Belgium.
Serena Williams blew away fellow former number one Maria Sharapova 6-1, 6-3 to join top seed Victoria Azarenka in the semi-finals at the Madrid Open on Friday.
Serena Williams overcame a lethargic start to upset fellow former World No 1 Caroline Wozniacki at the Madrid Open on Thursday and set up a quarter-final meeting with old foe Maria Sharapova.
The former world number one, who returned to competition in June after 11 months out with injuries and health problems, will carry a 10-match winning streak into the final against Samantha Stosur and appears in ominous form ahead of the US Open starting Aug. 29.
The newly-crowned Australian Open champion will play at the Bangalore Open, from February 12-18.
"She played some incredible points on match point, she reminded me a bit of myself," said Williams after the match.
Serena Williams remains on course for a record sixth win at the Sony Ericsson Open after beating sister Venus 6-4, 3-6, 6-3 to set up a final meeting with 19-year-old Belarusian Victoria Azarenka. Azarenka defeated Russian Svetlana Kuznetsova 6-3, 2-6, 7-5 in Thursday's other semi-final to book her place in a top tier final for the first time.
American ace said Sania has a solid game for her age.
Serena Williams faces the player she will replace next week as world number one, Victoria Azarenka, in the final of the Qatar Open after overcoming Maria Sharapova 6-3, 6-2 in Doha on Saturday
Serena Williams is intent on defending her Olympic titles in Rio and finds it sad that several athletes will miss out on an 'amazing' experience because of worries about the Zika virus.
The real Serena Williams finally turned up at the French Open on Saturday in pursuit of a 22nd Grand Slam singles title but it was to no avail as she lost to a tenacious opponent who beat her at her own power game.
Serena Williams has been vulnerable this Grand Slam season but unbeaten in the year's first three major championships.
Bumble began in 2014 as a dating platform for women to start discussions with potential male partners. The company is aiming to promote newer functions, Bumble BFF and Bumble Bizz, which help women find friends and build business networks, alongside dating.
Serena Williams and Andy Murray had brief hiccups on the way to convincing victories at the US Open, each choosing different tactics to remain on track for a long ride into the year's final Grand Slam.
Serena Williams regained her composure after smashing her racquet and being on the brink of defeat to beat Caroline Wozniacki 2-6, 6-3, 7-6 (6) on Saturday and reach the title match at the WTA Finals.
Russian Anastasia Myskina scraped past Israeli teenager Shahar Peer 6-2, 3-6, 6-3 to reach the third round of the Amelia Island Championship.
Serena beat Meghann Shaughnessy while Sharapova beat Dinara Safina to move into the Los Angeles Open semi-finals.
Australian great Margaret Court won 24 grand slam singles titles, one ahead of American Williams, who confirmed she was pregnant on Wednesday and will sit out the rest of the season.
Serena Williams, unable to defend her 2009 and 2010 titles last year due to a freak foot injury, found herself dive-bombed by crickets that made merry on a balmy evening at Rod Laver Arena.
The veteran American set up a showdown with Romanian former world number one Simona Halep in Saturday's final.
Mauresmo overcame Paola Suarez while Serena thrashed Jennifer Capriati in the women's quarter-finals at Wimbledon.
Sharapova beat Lindsay Davenport while the defending champion beat Amelie Mauresmo in the women's singles semi-finals at Wimbledon.
2004 champion Justine Henin-Hardenne of Belgium beat Hana Sromova 7-6, 6-1 to confirm her position as tournament favourite.