The last time the Russian ace made the quarter-finals was in 2007, when she was defeated by Venus Williams - who would go on to win the title, so this is a big feat for the 32-year-old.
"Now she played a brilliant game and match".
Ostapenko wiped out a break for 3-3, only to see Williams ramp up the pressure to break for 6-5, holding out to love for her 86th singles victory at Wimbledon.
"I've done a good job so far here", said Murray, the defending champion.
She will next play the victor between two higher-ranked women who were born in 1991, so both of them are more than a decade younger than Williams. Venus now leads 2-1 in the second set and also one break up.
"When I come to these tournaments, my focus is just me, not necessarily the other 127 women".
"I think I'll see what happens when I get out there", she added. Williams consistent 1117mph first serves were very often beyond Ostapenko, who found the American looming well inside the baseline to seize on her own 75mph second serves. The teenager would then have a couple of break points against the Williams serve, earning her first from a netted short forehand in a contest marked by a fair share of unforced errors. "I was actually looking forward to playing on one of the two big courts".
"There are no words to describe, like, how devastating and, yeah", she said according to Washington Post.
Since winning Wimbledon in 2008, her seventh major, Williams has only reached the final here once, losing to Serena in 2009.
"She hits the ball hard", Williams said. On Monday, when the WTA rankings change after the Wimbledon updates, either Karolina Pliskova or Simona Halep will be the new WTA queen. Ostapenko missed too many returns in the end to prevent Venus from continuing her dream run.
Djokovic and Mannarino will open Centre Court before the focus switches firmly to the women's quarter-finals.
The Latvian was only three when Williams won Wimbledon for the first time and despite the gulf in their ages, the freshly minted French Open champion is unlikely to be fazed by her first outing on the most famous grass court in the world.
For the second time in less than a month, Halep will be playing with the no. 1 spot on the table. "I think for myself, just sticking to my guns was definitely key".
But after struggling through the first six months of the season, a collision with Spaniard Garbine Muguruza looked to be loaded with peril for Kerber and eventually it proved that way as the 2015 runner-up beat last year's beaten finalist 4-6 6-4 6-4.