Djokovic once again made difficult work of his opponent in the early rounds, requiring four sets to come through a topsy-turvy encounter with big-hitting Tennys Sandgren.
By his own admission, Djokovic "lost it mentally" during the third set against Sandgren which his opponent took after saving a match point, and that is a worrying sign for the Serb as his success relies so much on his focus.
History is on his side in this match-up though, as he leads Gasquet 12-1 in career meetings with the Frenchman struggling to lay a glove on Djokovic since they first faced off in 2006.
The Frenchman has made comfortable progress in New York so far, breezing past both Yuichi Sugita and Laslo Dere in straight sets but the challenge presented by Novak Djokovic is an altogether different proposition.
Throughout his career, Gasquet has come up short against the very top players in the game with his weaknesses being exposed. This is evidenced by his poor record against Djokovic and it is debateable whether he really believes he can win this match.
Given that he has picked up just one set in his last ten meetings with Djokovic, there is little to suggest an upset is on the cards so he will have to hope that his Serbian opponent will suffer an off day.
Although Djokovic has not been at his brilliant best at Flushing Meadows so far, he tends to grow into tournaments and this is a match-up that has long been favourable for him. The pair have met three times previously at Grand Slam level, and on each occasion Djokovic has won in straight sets. A similar outcome is expected for this third-round clash.