|US Open 2019|
|Venue: Flushing Meadows, New York Dates: 26 Aug – 8 Sep|
|Coverage: Live text and BBC Radio 5 Live Sports Extra commentary on selected matches on the BBC Sport website and app. Click here for Live Guide.|
The 15-year-old, who came to prominence at Wimbledon, and the Hungarian world 112 produced a superb spectacle.
Gauff broke three times in the opening set before Babos fought back to level.
In a third set of lung-bursting rallies, Gauff crucially broke in the 10th game to seal victory.
- Wimbledon 2019 flashback: ‘High hopes for Gauff’
- Halep loses to world number 116 Townsend
- Evans has ‘belief’ he can beat Federer
- Live scores, schedule and results
- Kvitova knocked out by Petkovic
The American is back on court on Friday for a doubles match and said that she would think about the match against Japanese world number one Osaka on Saturday – the day of their encounter.
She also paid tribute to Babos for her part in a thrilling match, saying: “Timea played so good and I’m so happy to get through.
“I was tested a lot. We both just tested each other. If I didn’t win the last point maybe she would have won the match.”