In the 1991–92 season, Kopač won her first senior national title and was sent to her first ISU Championship, the 1992 Europeans in Lausanne, Switzerland, where she placed 23rd. In February, she represented Slovenia at the 1992 Winter Olympics in Albertville, France. Ranked 26th in the short program, she missed the cut-off for the free skate, to which only the top 24 advanced. In March, she competed at the 1992 World Championships in Oakland, California, but was eliminated after placing 25th in the short program.