The 38-year-old Williams, who showed her mettle in the second round where she upset world number three Petra Kvitova, will meet unseeded German Mona Barthel in the fourth round. She finished out the next game for a 3-1 lead and led 5-1 before Collins saved a match point to hold and make Osaka serve out the match.
Meanwhile, Germany's Philipp Kohlschreiber stunned Australian Open champion Novak Djokovic 6-4, 6-4 on Tuesday, claiming his first career win over a world No. 1 player to reach the fourth round of the ATP Indian Wells Masters tennis tournament. "But honestly, I think at a time like this with that scoreline, I would usually feel very depressed and sad". Andreescu - who roared to her first WTA final as a qualifier in Auckland in January, beating two former world number ones on the way - is in the quarter-finals of one of the WTA's elite premier mandatory events for the first time.
She will face resurgent Swiss Belinda Bencic, a 6-4, 6-2 victor over Ekaterina Alexandrova of Russian Federation.
World number two Simona Halep of Romania is also out, beaten 6-2 3-6 6-2 by Czech teenager Marketa Vondrousova. "So just things worked out for me", said Bencic. Halep got injured during the match and received treatment for blisters on her foot.
Venus Williams beat Christina Mc Hale to reach the Indian Wells fourth round. AP
Naomi Osaka won her first career title at Indian Wells a year ago, propelling her to a career-best year in which she defeated Serena Williams for the U.S. Open title. Her triumph in Australia made her No. 1 for the first time, but her time at the top has been rocky.
"[Matches like this] give me again confidence that I can turn around matches; that I can play also three sets; also in the close moments that I'm there, that I can trust myself", Kerber said.
Vondrousova will go for another big win when she faces sixth-seeded Elina Svitolina, who battled to a 7-6 (10/8), 5-7, 6-4 victory over Australian Ashleigh Barty.
"I was pretty determined this year", Williams said.
Seven-time grand slam victor Venus Williams also found it tricky facing fellow American Christina McHale for the first time, but she pulled back early breaks in each set to win 6-2, 7-5. Williams will fight for a semi-final berth against eighth-seeded Angelique Kerber, who beat ninth-seeded Aryna Sabalenka of Belarus 6-1, 4-6, 6-4.
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