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Sinner needed just over two hours to beat French wildcard Clement Tabur 6-1, 6-3, 6-4 to extend his winning streak to 30 matches.
After taking all three clay-court Masters 1000 events in the run-up to Roland Garros, the 24-year-old Italian appears to have cracked the code to victory on the red dirt.
Without double-reigning champion and world number two Carlos Alcaraz in the draw, top seed Sinner is considered the runaway favourite to lift the Coupe des Mousquetaires for the first time come the men's final on June 7 and complete his career Grand Slam.
"Pressure is always going to be there," Sinner told reporters.
"It's normal. So I try to take it in a very natural way. I know what kind of player I am. Then, you know, if you don't feel the pressure, it means you don't care.
"I do care a lot about what I'm trying to achieve on a tennis court."
He showed why he is the man to beat in the French capital with a punishing display against the world number 171, hititng 40 winners to just 21 unforced errors.
Sinner will meet Argentinian Juan Manuel Cerundolo in the second round.