Awaiting Konjuh in the semi-finals is second seed Roberta Vinci, who enjoyed a 6-0, 6-2 win over sixth seed Kurumi Nara in just 49 minutes.
Wozniacki rallied past eighth seed Karolina Pliskova, 6-1, 3-6, 6-2 while France's Kristina Mladenovic won a two-hour, 23-minute marathon against former French Open winner Francesca Schiavone, 3-6, 6-3, 7-5.
"I'm happy with the way I've been serving this week and it definitely helped me out there today," Wozniacki said.
"Karolina is a tough opponent and she always gives me a lot of trouble. I knew it was not going to be easy."