Deverdics began his career as a trainee with Newcastle United, but was released at the end of the 2005–06 season. Upon his release he joined Gateshead, leaving to join Bedlington Terriers in December 2006.
In March 2007 Deverdics moved to Gretna. where the then Director of Club Development Mick Wadsworth said: "Nicky's got great ability and we have high hopes for him. I have watched him a lot and he was a player who really interested us, so we're delighted to have him on board." Deverdics made an immediate impact and played a key role in helping them to clinch promotion – playing six times and scoring once. Deverdics went on to make 26 appearances for Gretna in the Scottish Premier League. On 19 May 2008 Deverdics was one of 40 members of staff who were released by Gretna, after financial problems forced the club to disband.
Deverdics joined Barnet in July 2008 and went on to make 51 appearances for the Bees – winning the 'Most Improved Player' award in his first season. Upon signing Deverdics, the then manager Paul Fairclough told BBC London 94.9: "He has played in the Scottish Premier. He's only 20 and has got a great left foot and has a big future." Deverdics played in a midfield alongside the likes of Yannick Bolasie, Albert Adomah and Micah Hyde.
Becoming a Spartan
On the eve of the 2010–2011 season it was announced that Deverdics had signed for Conference North side Blyth Spartans. He made his debut as a second-half substitute in the 2–0 defeat to Solihull Moors on 14 August 2010. He scored his first goal for the Spartans on 11 September 2010 in their 3–0 home win over Worcester City.
Deverdics joined Icelandic team BÍ/Bolungarvík on 11 May 2011. During a 3–2 win against Thróttur Reykjavík, Deverdics scored two direct free kicks with manager Gudjón Thórdarson concluding: "Clearly he tied his laces right because they were fine goals."
On 6 June 2016 it was announced that Deverdics had signed for Hartlepool United on a free transfer. Deverdics scored his first goal for Hartlepool in an FA Cup tie against Stamford on 6 November 2016.
On 31 January 2018, Deverdics signed an 18-month contract with National League side Wrexham. Deverdics scored his first goal for Wrexham in the Cross-border derby against Chester on 11 March 2018, the 2nd goal in a 2–0 win. He was released by the club on 8 May 2019.
Gateshead FC
On 5 August 2019, it was announced that Deverdics had resigned for Gateshead FC.
