Vukovic made his A-League debut for the Central Coast Mariners in September 2005 against Melbourne Victory after the team's first-choice keeper John Crawley suffered a season-ending hip injury.
He went on to play 19 more games for the Mariners in the 2005–06 season, achieving five clean sheets, and also saved a penalty from Sydney FC's star player, Dwight Yorke.
[4] During the third A-League Grand Final on 24 February 2008, Vukovic received a red card for slapping referee Mark Shield's hand following an alleged handball by Newcastle Jets player James Holland.
On the day after the Grand Final, Football Federation Australia (FFA) gave Vukovic a 15-month ban (with 6 months suspended), meaning he would not be able to play in the A-League until 24 November 2008.
[citation needed] Although Vukovic will be ineligible to play for the Mariners in the early rounds of the 2008–09 A-League season, the decision means he will be eligible for selection for the Australian Olympic team competing in Beijing.
[8] After being released by Konyaspor, Vukovic signed a one-year deal for the remainder of the 2010–11 season with the Wellington outfit, largely due to an injury suffered by back-up goalkeeper Reece Crowther.
On 13 February, he scored the first goal of his career and the first for any keeper in the A-League for the Phoenix with a 93rd-minute penalty in the final round clash against the North Queensland Fury.
Vukovic was the number one goalkeeper at Perth and enjoyed a successful season as the club made it to their first A-League grand final, losing to Brisbane Roar.
[11] On 4 June 2015, it was confirmed that Vukovic had signed a three-year deal with A-League champions & premiers Melbourne Victory, being a major replacement for departing keepers Nathan Coe and Michael Turnbull.
[12] Vukovic revealed that a factor of signing the deal with the Melbourne club was that he & his wife Kristy wanted to live on the Eastern coast of Australia so that their new born child (expected in July 2015) would be raised closer to their respective families from Sydney.
[14] On the day Vukovic parted ways with Melbourne Victory, he signed with Sydney FC on a two-year deal, stating that he made the move to be closer to his family for the sake of his son's health.