Judež was accepted into the Slovenian junior team in 2006 and competed in his first competition in the FIS Cup on July 16, 2006 in Garmisch-Partenkirchen . After rather mediocre results he started in the AlpenCup in 2008. In January 2009 he jumped on the podium for the first time in Reit im Winkl and came third. At the end of February 2009 he was able to win the jumping in Ljubno in the FIS Cup . In September 2009 he jumped two competitions in the Ski Jumping Continental Cup and won his first COC points in the second competition in Wisła . Shortly thereafter, he won the first competition for the 2009/10 Alpine Cup. At the Slovenian Championships in Kranj in 2009 , he won the individual silver medal. He was also able to win silver in the team competition together with Primož Roglič , Miran Zupančič and Andraž Pograjc . In January 2010 he was able to achieve the bronze medal in team jumping with the Slovenian team at the Nordic Junior World Championships in Hinterzarten . After that he started mainly in the Continental Cup and won his first Continental Cup competition in February 2011 in Kranj.
On March 18, 2011, he was able to score his first World Cup points in ski flying in Planica with rank 25. His best World Cup result so far was a 22nd place on February 5, 2012 in Val di Fiemme, Italy .
At the FIS Cup competition in Kranj , Judež last competed in an international competition in January 2015.