That is the prediction made by three-time Wimbledon champion and BBC analyst John McEnroe.
Halep will play the role of party-pooper when she takes on Gauff in their fourth-round tie on Court One.
Gauff has enjoyed a fairytale run to the last 16 with wins over Venus Williams, Magdalena Rybarikova and Polona Hercog.
But the 15-year-old will start the match with Halep as the major underdog.
Halep is a former world No 1, won the French Open in 2018 and reached the semis at Wimbledon in 2014.
However, McEnroe believes Halep will have been fretting about the prospect of playing Gauff, despite the vast difference in experience.
“She is in a no-win situation if you think about it for her. If she wins, that is what she is supposed to win,” he said on the BBC.
“She’s a former world No 1, won a slam. If she loses…I bet you she didn’t sleep too well.
“You don’t like it as a tennis player to walk onto court when you don’t feel like there is a lot to gain. There’s a lot more to lose.
“She’s suffered some nerves in the past, this would not be the first time.”
While former American player Chanda Rubin feels the match will be decided by whether Halep can handle the nerves.
“You look at the way they play, Simona is the better player,” she said.
“She is more consistent, she’s got maybe a little bit more understanding of the movement on the surface as well as experience.
“But the mental fortitude, that is what has been so impressive about Coco Gauff. And that is going to be where the match lies.
“Is Simona Halep going to embrace the moment, play with less nerves and let her game flow?
“That is going to be the big question.”