In the 2013–14 season, Weaver/Poje won two silver medals on the Grand Prix series and placed fifth at the Grand Prix Final. After taking silver at the 2014 Canadian Championships, they were selected to represent Canada at the 2014 Winter Olympics in Sochi, where they finished seventh. At the 2014 World Championships in Saitama, Japan, Weaver/Poje placed second in the short dance and third in the free dance. Finishing 0.02 of a point behind Italy's Cappellini/Lanotte and 0.04 ahead of France's Pechalat/Bourzat, they ended the competition as silver medalists.