Despite his NHL contract, Cloutier remained in the OHL for the 1995–96 season. In his 12th game of the season with Sault Ste. Marie, he suffered a shoulder injury that sidelined him for two months. During his return to the lineup in a game against the Windsor Spitfires on January 2, 1996, he reaggravated the injury. While continuing to recover, he was dealt to the Guelph Storm at the trade deadline on January 10 in exchange for goaltender Andy Adams and two draft picks. Splitting the campaign between the Greyhounds and Storm, he recorded a 2.85 GAA in 30 games. As the Storm finished the season with lowest GAA in the league, Cloutier and backup Brett Thompson were jointly awarded the Dave Pinkney Trophy. Cloutier additionally received OHL Second All-Star Team honours. In the playoffs, he recorded a 3.14 GAA in 16 games. However, for the second time in four years, his team was defeated in the J. Ross Robertson Cup Finals by the Peterborough Petes. Despite losing the OHL title, Guelph earned a berth into the 1996 Memorial Cup as the OHL's representative; the Petes had an automatic bye into the tournament as the host team. The Storm lost all three of their round-robin games, failing to qualify for the Memorial Cup playoffs. Cloutier had a 4.00 GAA in the three contests.