 Tesselaar made his debut for the club, in the opening game of the season, as Kilmarnock drew 0–0 with Dundee, where he started as a left-back in defense.After making four appearance, Tesselaar sustained an injury during a match against Stenhousemuir, in the first round of the Scottish League Cup, which Kilmarnock lose 2–1.Tesselaar was out for six weeks due to a hamstring injury.