Scrubb's career is perhaps the most accomplished in the history of Canadian Interuniversity Sport basketball. In 2010, Scrubb joined a powerhouse Carleton Ravens team at Carleton University that had won the Canadian men’s university basketball championship in six of the previous eight years. He averaged 13.1 points per game, and helped the Ravens to a perfect 22-0 record, and their seventh national championship. Scrubb was named an OUA East Second Team All-Star, and earned the Dr. Peter Mullins Trophy as CIS Rookie of the Year. In his second season at Carleton, Scrubb led the Ravens to another 22-0 season, and earned the Mike Moser Memorial Trophy as the Outstanding Player in the CIS. He also was awarded the Jack Donohue Trophy as MVP of the CIS Championship Tournament, as the Ravens took the national title again. Scrubb won his second Moser Trophy the following year, and took the award again after the 2013–14 season. He is the only three-time recipient of the award in CIS history. In his final season at Carleton, Scrubb led the Ravens to their fifth consecutive national title, and earned his second Donohue Trophy as playoff MVP. He also was selected First Team All-Canadian for the fourth consecutive year. During his five years at Carleton, the Ravens had a won-lost record of 102-3. He and his brother Thomas dominated CIS basketball during their time with the Ravens.
College statistics
Professional career
After finishing the season at Carleton, Scrubb signed with Entersport, a leading professional basketball agency. In July 2015, Scrubb played with the NBA Summer League teams of the Memphis Grizzlies and the Toronto Raptors. In August 2015, Scrubb began his professional career with the Greek League clubAEK Athens, after signing a two-year contract with them. In the winter of 2016, he moved to Germany, after he was loaned by AEK to the German Bundesliga club, the Skyliners Frankfurt. On May 1, 2016, he captured the FIBA Europe Cup title with the Skyliners, tallying six points, three rebounds and two assists in the championship game. The Frankfurt team exercised an option in June 2016, to keep Scrubb for the 2016–17 season. However, he missed the beginning of the season, due to problems with his knee; and in December 2016, the Skyliners announced that Scrubb had to undergo surgery to repair the knee injury, after the failure of conservative treatment, and that he would be out for between six and nine months. He returned to the Frankfurt team for the 2017–18 season. In April 2018, Scrubb won the BBL Best Offensive Player award. Scrubb was the Basketball Bundesliga Top Scorer as well, as he averaged 18.3 points per game on his way to leading Frankfurt to the playoffs as the eighth-seed. On July 18, 2018, Scrubb signed a one-year deal with Zenit Saint Petersburg of the VTB United League. On July 17, 2019, Scrubb signed a one-year deal with Spanish club Movistar Estudiantes. Scrubb averaged 9.4 points per game. On July 23, 2020, he has signed with Limoges CSP of the LNB Pro A.