In the 1991–92 season, Hubert won the World Junior title and later took silver behind Surya Bonaly at the French National Championships. This finish earned her a trip to the 1992 Albertville Olympics. At this time she was working on her triple lutz jump but elected to do a triple loop jump during her Olympic short program where she placed 5th. She was the last skater of the evening in the long program, where she placed 15th after making numerous errors, including falling four times. This dropped her to 12th place overall. Hubert competed at the 1992 World Championships one month later. She had two falls but completed six triples, including a triple flip jump and a triple/triple combination. Her third place in the free skate, combined with 5th in the short, resulted in 4th overall, her career-best World result. Hubert matched that result in 1998, with the next-best result, 6th, occurring in 1995 and 1997.