The Russian, who struck 38 winners of her own during her 6-3 6-4 win over Australian Daria Gavrilova, will hope she can cut down on the 32 unforced errors she made to survive her first meeting with Ostapenko.
"I guess in those moments, those situations, you kind of have to really focus on yourself", Sharapova said.
While Sharapova is playing well, I still need to see more from her, as she's not Sharapova from a few years back and still has issues putting away her opponents. Her coach, Michael Joyce, wanted to come on early in the third set but was refused as he had initiated the move, which is against the rules.
The Australian completed quite an ordeal of a match that ended early Thursday morning giving her very little time to rest for her third match against Sharapova.
Maria Sharapova is coming off a straight sets win over Daria Gavrilova that took 19 games to decide.
"We've never faced against each other before, and, yeah, I'm looking forward to it".
Konta held through the remainder of the set, but Ostapenka was in full swing now, held to love for 5-2, and served out confidently for 6-3.
Eighth seed Venus Williams fell to Anett Kontaveit 6-2 7-6 (3) for her second defeat by the Estonian in as many weeks after losing to her in Madrid.
Angelique Kerber will be Svitolina's opponent in the last eight after the German former world No.1 dispatched Maria Sakkari of Greece 6-1 6-1.
She started strongly, too, breaking twice to take a 5-1 lead as Ostapenko looked sluggish, complained of dizziness, and thumped a slew of errors.
And Caroline Garcia ousted Sloane Stephens 6-1, 7-6.
This remains a packed half of the draw topped, literally, by world No1 Simona Halep. Halep's first challenge was to reach at least the quarter-finals in Rome after her runner-up finish previous year, and she was gifted that when No13 seed Madison Keys withdrew from their third-round match because of a rib injury. Because of that and the fighting spirit of Ostapenko, I have to fade Sharapova in this match.
By reaching the quarters, Halep will remain No. 1.