She had no such trouble against No. 20-seeded Cibulkova on Saturday night, racing through the second set in 27 minutes after taking the first in a tiebreaker.
Li's supporters were everywhere in the crowd, some with Chinese flags painted on their faces, others holding Chinese flags or giant signs painted with Chinese characters.
Her fans got her through the nervous first set, chanting, "Li Na, Let's Go," in Mandarin during every changeover.
Li opened the final by breaking Cibulkova, holding, then getting a breakpoint chance in the third game. But Cibulkova held, and then broke back in the sixth game thanks to Li's consecutive double-faults. Li broke in the 11th game and had a set point serving for the set in the 12th, but lost three straight points to ensure it went to the tiebreaker.
As Li began her roll in the second set, someone yelled -- before Cibulkova served -- "C'mon Li Na, bagel her!"
She did.
A half hour later she was holding up both thumbs to the crowd, and holding back tears as she hugged her Slovakian rival at the net. She went immediately to the side of the court to shake hands with her coach Rodriguez.
The diminutive Cibulkova, one of the shortest players ever to reach a Grand Slam final at 1.61-meters (5-foot-3), had four wins over Top 20 players on her way to the final, including a fourth-round upset of third-seeded Maria Sharapova and a straight-sets semifinal trouncing of No. 5 Agnieszka Radwanska.
She had to pull the microphone down closer to her before her post-match speech.
"These were just fantastic two weeks of my life," she said, pausing to laugh, and then cry. "Hello to everybody in Slovakia. This means a lot for our country and I'm happy I can be the one here for Slovakia."
No. 4-ranked Li, who reportedly has four-times more followers on her Chinese social networking site than there are people in Slovakia, had a good run through the tournament as other star players like Serena Williams, Sharapova and Azarenka tumbled out by the quarterfinals.
She opened with wins over the two youngest players in the tournament, then saved a match point in her third-round win over Lucie Safarova. In the semifinals, she held off 19-year-old Canadian Eugenie Bouchard, and never had to face a player ranked in the top 20 en route to the final.
Li said it didn't matter how she got there, only that she'd finally broken through to win the title at her favorite major.