Garbine Muguruza is set to take on either Frenchwoman Caroline Garcia, the seventh seed, or Russian qualifier Anna Blinkova for a place in the semi-finals.
Support has poured in from all corners after Bethanie Mattek-Sands suffered a horrible knee injury at Wimbledon 2017.
America's Bethanie Mattek-Sands suffered a horror knee injury at Wimbledon on Thursday which left her screaming and crying in pain in the middle of the court.
The World No.1 routed Sorana Cirstea 6-2, 6-0
Serena next faces unseeded Romanian Sorana Cirstea, who toppled fourth-seeded Li Na of China 6-1, 7-6 (7/5).
Serena Williams coasted into the last 16 of the French Open on Friday with a 6-0, 6-2 win over Sorana Cirstea of Romania.
Top seeded and defending champ Serena Williams destroyed Sorana Cirstea 6-1, 6-2 in one hour on Saturday to reach her second straight final at the WTA hardcourt tournament at Stanford.
Yanina Wickmayer pounced on nine double-faults from Marion Bartoli to knock the French second seed out of the quarter-finals of the WTA hardcourt tournament in Stanford on Friday.
Chinese defending champion Li Na overpowered Romania's Sorana Cirstea 6-2, 6-1 on Monday to advance to the second round of the French Open, sustaining Asia's hopes of another Grand Slam title.
US Open champion Samantha Stosur got off to a winning start at the Madrid Masters on Saturday, the Australian advancing to the second round with a 7-5, 4-6, 7-6 (7-5) victory over Croatian Petra Martic.
Timea Babos fought back to beat third-seeded Sorana Cirstea at the Monterrey Open on Thursday, giving Hungary two berths in the quarterfinals of the WTA event.
US Open champion Samantha Stosur was stunned in the Australian Open's first round on Tuesday as she crashed out in straight sets to Romania's Sorana Cirstea in front of her home crowd.
Qualifiers Sorana Cirstea of Romania, Evgeniya Rodina of Russia and Anastasia Rodionova of Australia reached the quarterfinals of the Generali Ladies on Wednesday.
Sorana Cirstea of Romania routed second-seeded Bojana Jovanovski 6-3, 6-1 on Monday in the opening round of the Tashkent Open.
Serena Williams shrugged off her unseeded status and delivered a dominating 6-1, 6-3 victory over second-seeded Maria Sharapova to reach the semi-finals of the WTA Stanford tournament.