The 21-year-old from Monaco goes into the Chinese Grand Prix on Sunday — the 1,000th world championship race — widely touted as the next big thing to grace the sport.
He came an agonising third last time out, in Bahrain, after leading for much of the race until his Ferrari lost power, allowing Mercedes' Lewis Hamilton to snatch victory.
Speaking in Shanghai, the third race of the season, Leclerc conceded that getting himself on the podium for the first time had propelled him into the spotlight.
"After the first race (Australia, where he was fifth) nobody sees me as a title contender," he said. "After the second race, everyone sees me as a title contender so things can go (change) very quick in Formula One. I need to keep the focus on what I'm doing in the car, work as hard as possible and try to do the best job in the car and outside the car, and I'm pretty sure the results will come."
Leclerc, in only his second season in F1 and first with the famed Ferrari team, added: "The win was very close (in Bahrain) and hopefully I'll get my first win soon. That's the target and that's what I'm working for."
Leclerc comfortably trumped his Ferrari team-mate and four-time world champion Sebastian Vettel in Bahrain, with the German coming fifth.
Leclerc smiled when put to him by reporters that he was on the brink of becoming a sporting household name.
"The people seeing your face on the podium changes quite a bit," he said, adding that he was now getting widely recognised back home in Monaco. "Formula One is one of the sports in which you don't actually see the face of the athletes until you go to the podium (because of their helmets) or do something good. That did not happen before two weeks ago, so people put a bit more of the face to the name, which is nice to see, it's good."
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