 Billington was named the starting goaltender for the Ottawa Senators after being acquired by the club during the off-season.On October 6, 1993, Billington made his Senators debut, making 26 saves in a 5-5 tie with the Quebec Nordiques.After starting the season 0-4-1, Billington earned his first victory with Ottawa on October 25th, as he made 23 saves in a 4-1 win over the Mighty Ducks of Anaheim.