In the 2014 World Championship, Suljović missed four darts to take a 2–0 set lead against Mark Webster in the first round with the match going into a deciding set. With the set on throw with Webster three legs to two ahead, Suljović attempted to finish 57 but hit consecutive single twos to fail to set up a double, and watched Webster step in to take the match. He increased his ranking by 14 places over the year to be world number 45. The first PDC major quarter-final of his career came at the UK Open by seeing off Keegan Brown, Tony Randall, Robert Thornton and Jamie Lewis. Suljović played Adrian Lewis and, although both players averaged 98, Lewis was much more clinical on his doubles to win 10–3. Suljović partnered Rowby-John Rodriguez for the first time in the 2014 World Cup of Darts and they lost both of their singles matches in the second round against the Belgium brothers Kim and Ronny Huybrechts to exit the event. At his home event the Austrian Darts Open, Suljović produced four fine displays to reach the semi-finals where he was defeated 6–3 by Vincent van der Voort. At the European Championship he lost 6–2 to Jamie Caven in the first round.