Serving at 3-2, the 20-year-old American began the sixth game of the set poorly though and Burrage seized her chance, breaking back with some all-out attack.

From 2-3 she won eight out of 10 points to hold for 4-3, and incredibly broke Gauff again to leave her serving for the set.

But just when she needed her best tennis, Burrage’s consistency deserted her. After winning the opening point of the ninth game, she missed three successive groundstrokes and double-faulted to allow Gauff to get back on serve.

Although the remainder of the set was by no means a formality for the higher-ranked player, again Burrage buckled under pressure when she handed over another break by double-faulting twice from deuce at 5-5.

A few minutes later, Gauff was breathing a sigh of relief as she served out the victory to return to the third round.