In 1993, Roy was selected by the Beauport's Harfangs (renamed in 1997 as the Quebec Remparts) in fourth round. One year later, at age 19, his agent took him to the NHL Entry Draft of 1994. During the last Memorial Cup, many NHL recruiters had seen Roy's potential and had met him. He was not certain that he would be recruited that year but he was selected by the Bostons Bruins in sixth round, as the 151th choice of the draft.