Delaup made his debut in the ski jumping world cup on December 15, 1990 and finished jumping in Sapporo in 46th place. In the Nordic World Ski Championships 1991 in Italian di Val Fiemme he jumped on the normal hill on the 42nd and on the large hill on the 30th place. On December 1, 1991 he succeeded with the 5th place in Thunder Bay, the first point win and the first place in the top ten. Even if he could not repeat this success in the following competitions, he was part of the squad for the 1992 Winter Olympics in Albertville . After jumping from the normal hill, he was tied with Kazakhs Andrei Werweikin on 32nd place. He jumped from the large hill to 6th place. In the team competition, he landed on 10th place together with Jérôme Gay , Didier Mollard and Nicolas Jean-Prost . At the end of the 1991/92 season in Planica he once again made it into the top ten with 8th place. He started again successfully in the 1992/93 season and was able to jump on the podium for the first and only time in his career with third place on the normal hill. In the second competition on the large hill, he narrowly missed the podium with 4th place. At the Nordic World Ski Championships in Falun in 1993 , he landed on the 26th place in jumping from the normal hill, on the 8th place on the large hill and on the 4th place in team jumping. After further good individual performances, he finished the season in 12th place in the overall World Cup standings. In the following years he could no longer build on this success, which is why he competed in the Ski Jumping Continental Cup parallel to the World Cup . Despite only mediocre performance, he was part of the squad for the 1994 Winter Olympics in Lillehammer . There he was only able to reach 47th place on the normal hill and 23rd place on the large hill. In the team competition he only came in 6th place with the team. After he could only win World Cup points once in the World Cup jumping after the Olympic Games, he ended his ski jumping career in the World Cup in January 1995 and jumped exclusively in the Continental Cup until the end of the season.