After coming through qualifying and upsetting five-time champion Venus Williams in the first round, the 15-year-old Gauff extended her stay Wednesday at the All England Club by dispatching former semifinalist Magdalena Rybarikova 6-3, 6-3.
"The last three days have definitely just kind of been surprising," Gauff said. "It just shows if you really work hard, you can get where you want to go. Last week around this time, didn't know I was coming here. It just shows you have to be ready for everything."
Gauff is the youngest player to come through qualifying for Wimbledon in the Open era, and she showed her maturity once again in a match played under the new roof on No. 1 Court. She never faced a break point and had only 10 unforced errors, as compared to 24 for Rybarikova.
"I don't put expectations on myself, but I have goals, and my goal is to win it," Gauff told ESPN's Tom Rinaldi.
Meanwhile, eighth-seeded Elina Svitolina advanced to the third round after Margarita Gasparyan retired with a leg injury in the second set on Wednesday. Gasparyan was leading 7-5, 5-6 when she was forced to quit.
Gasparyan had been on the verge of an upset, two points from the match at 5-4 in the second, but Svitolina held -- and her opponent was then injured after delivering a serve at 0-15 in the next game.
Gasparyan clutched her left thigh in pain, then lay on the baseline for several minutes while receiving treatment from a physical therapist. Svitolina also came over to bring her foe water.
"I know when there is cramps, you need to drink lots of water," Svitolina said. "Your muscles are contracting. So it's important just to drink lots of fluids. So that's why I gave her some water -- because no one really did anything. I mean, we were trying to help, but, yeah, it's tough to react straightaway."
Gasparyan, who has had three surgeries on her left knee since her last Wimbledon appearance in 2016, eventually got back up, but she was broken and then retired during the next game.
It was only the second time in eight appearances that Svitolina has reached the third round at the All England Club. Her best result was making it to the fourth round in 2017.
The Associated Press contributed to this report.