In 2013, Abbrederis was named to the preseason watch lists for the Fred Biletnikoff Award, Paul Hornung Award, and first-team All-Big Ten by Athlon Sports, Phil Steele and Sporting News. He recorded two catches for 122 yards and two touchdowns on August 31, 2013, against UMass. He caught eight passes for 62 yards and a touchdown against Tennessee Tech on September 7, 2013. During a Wisconsin vs. Ohio State game he caught 10 passes for 207 yards against future 2014 NFL 1st round draft pick, cornerback Bradley Roby. On November 26, 2013, it was announced that Abbrederis was one of three finalists for the Burlsworth Trophy, which recognizes student-athletes who began their college football career as a walk-on. He was named the Burlsworth Trophy winner on December 9, 2013. He finished his collegiate career tied for the Badgers' all-time receptions record.