The World No 2 announced her commitment to the social media entrepreneur shortly before the New Year and while it was "great", she was pushing it to the back of her mind, at least until after Melbourne Park.
Serena Williams, who racked up her 500th match win with the victory, said her ankle is still causing her problems, a potential issue for tougher tests ahead.
Victoria Azarenka, the 19-year-old from Belarus, thrashed injury-hampered world number one Serena Williams 6-3m 6-1 to win the Sony Ericsson Open on Saturday. The victory, the first top-tier triumph for Azarenka, stopped the American claiming a record sixth title at Key Biscayne.
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.
Novak Djokovic scraped over his first hurdle at the Rome Masters.
However, French Open champion Anastasia Myskina's run of miserable form continued when she was beaten by Switzerland's Patty Schnyder.
Serena Williams moved another step closer to a record-tying 24th career Grand Slam title with a comfortable 6-3, 6-2 victory over Czech Karolina Muchova on Friday to reach the last 16 at the US Open.
The former world number one is suffering from a knee injury.\n\n
Serena Williams will make her long-awaited return to the Arthur Ashe centre court on Tuesday when she opens her latest US Open campaign against Bojana Jovanovski.
Serena Williams capped off a season to remember by capturing her fourth WTA Championship title with a 2-6, 6-3, 6-0 win over Li Na on Sunday.
Serena Williams continued her love affair with Melbourne by easing to an emphatic 6-3, 6-4 victory over an in-form Elena Dementieva to advance to a fourth Australian Open final in Melbourne on Thursday. The 27-year-old Williams will meet another Russian in the title match, taking on third seed Dinara Safina, who overpowered compatriot Vera Zvonareva 6-3, 7-6.
Serena Williams and Roger Federer both enjoyed Sunday afternoon strolls at Roland Garros as they seized the opportunity to gain head starts over their French Open rivals in ruthless fashion.
Former world number one Serena Williams has pulled out of the Cincinnati Open with a toe injury, tournament organisers said on Wednesday.
Sloane Stephens has denied she was celebrating the shock fourth round exit of World No 1 Serena Williams and said she felt the television footage was intrusive.
Serena Williams, Simone Biles and Ted Ligety were among the finalists for United States Olympic Committee (USOC) male and female athletes of year honours announced on Thursday.
Images from Day 12 of the French Open at the Roland Garros on Thursday.
IMAGES from the Australian Open on Tuesday.
Photos of the Australian Open matches
A round-up of the important matches at Wimbledon on Friday.
Serena Williams won her second straight tournament and proved her mettle ahead of the U.S. Open with a convincing 6-4, 6-2 win over Australia's Samantha Stosur in the Toronto Cup final on Sunday.
Serena Williams rebounded from her shaky start to the year with an awesome demonstration of her Australian Open intent at the Sydney International on Tuesday.
Serena Williams crushed Romanian qualifier Simona Halep 6-3, 6-0 to book her place in the Italian Open final and extend her winning streak to 23 matches on Saturday.
A laid-back Serena Williams breezed into the Madrid Open quarter-finals on Thursday when she barely broke sweat in a 6-3, 6-1 drubbing of Maria Kirilenko.
World number one and defending champion Serena Williams continued her serene progress at the Madrid Open tennis when she eased past Spanish wild card Lourdes Dominguez Lino 6-2, 7-5 in the second round on Tuesday.
World number one Serena Williams overcame a lethargic start to her Madrid Open title defence to seal an ultimately comfortable 7-6, 6-1 victory against teenage qualifier Yulia Putintseva of Kazakhstan in the first round on Sunday.
Tennis World No. 1 Serena Williams found herself in trouble with security officials at the PGA Tour's Honda Classic on Friday after she tried to photograph Tiger Woods.
Top-seeded Novak Djokovic was handed a danger filled path to the final of the US Open and a possible showdown with No 2 Roger Federer after Thursday's draw for the season's final Grand Slam.
A competitor lambasted the French Open as "one big circus" on Thursday as soggy weather once again came back to exasperate players seeking a foothold in the semi-finals of the rain-hit claycourt major.
Serena Williams finished her last U.S. Open tune-up in style by blowing away Serbian Ana Ivanovic 6-4, 6-1 to win her first title at the Western and Southern Open in Cincinnati on Sunday.
Serena Williams withdrew from the Dubai Championships because of a lower back injury just minutes before she was due on court for a second round match against Frenchwoman Marion Bartoli on Wednesday.
World No 1 Serena Williams won a tense battle of U.S. Open champions by beating Australia's Samantha Stosur 7-6(7), 7-6(7) on Wednesday to reach the third round of the Western and Southern Open in Cincinnati.
Having played just one tournament since mid-September due to various injuries and a recent bout of flu, Serena Williams is now itching to get back into competition with the Rio Olympics among her top priorities for the year.
Top seed Serena Williams won the final eight games to rout Andrea Petkovic in the semi-final at the Stanford Classic in California on Saturday.
Serena Williams made a winning return to action after nearly a year out with victory over Bulgaria's Tsvetana Pironkova at Eastbourne on Tuesday.
The former world No 1's second round victory set up a quarter-final meeting with Russia's Anastasia Rodionova at the Bangalore Open.
Pliskova was down 5-1 against Williams in the final set before the seventh seed produced a fight-back for the ages to claim a 6-4, 4-6, 7-5 quarter-final win over the American great.