The Italian world No.1 was pushed hard in the first two sets by the Chilean on Monday before advancing 7-6 (7-2) 7-6 (7-5) 6-1.
Fellow contenders Carlos Alcaraz and Novak Djokovic also moved into the second round, while Australian firebrand Nick Kyrgios was knocked out of his grand slam comeback at the first hurdle.
Victory extended Sinner’s winning streak to 16 matches dating back to last October, with his past 14 victories coming in straight sets.
The 23-year-old claimed his maiden grand slam title at Melbourne Park last year before also taking the US Open.
But he also made headlines off the court after testing positive to a banned anabolic steroid in a case where the details became public after his triumph at Flushing Meadows.
Sinner avoided a suspension after the International Tennis Integrity Agency ruled it was a matter of accidental contamination, but the World Anti-Doping Agency has appealed that ruling and is seeking a ban of a year or more.
That appeal will be heard in April.
The Italian was pleased to find way past a tricky first-round opponent in Jarry without dropping a set.
“The atmosphere has been amazing,” he said in his on-court interview.
“I think it was a very close one.
“The first two sets could have gone both ways. [Jarry] is an incredible player with huge potential.”
AAP
