He currently plays for Raufoss. Lekaj hails from Ammerud in Oslo, and was inspired by football player Dagfinn Enerly, who was his school teacher in the early years. He started his career in San Francisco Grei.
He was signed by Sheffield Wednesday in the summer of 2006.
He first appeared for the first team on 13 March 2007 at Hillsborough, entering the game as an 86th-minute substitute for striker Steve MacLean in a 2–0 league victory against Colchester United. Lekaj became the youngest Norwegian player who has ever played in the professional English league system.
He played one more game in the 2006-2007 season. Lekaj did not play first-team football in the 2007-2008 season, but made his first appearance of the 2008-2009 season against Rotherham United in the League Cup.
He came on as a substitute for Jimmy Smith and showed signs of promise, despite not playing in his favoured left wing position.
He also played two games in the Football League Championship and one game in the FA Cup. Following the close of the 2008-2009 season, Lekaj was reported to be a transfer target for Grimsby Town, this was quashed by Mariners manager Mike Newell, mentioning that Lekaj"s agent had approached Newell while he was scouting at a Wednesday Reserves game. Newell commented that Lekaj was not the sort of player he was looking foreign
In 2009, Lekaj scored fourteen goals in ten appearances for the reserve team and was recommended by the manager a loan move.
Lekaj ended up in Sandefjord, but an ankle injury kept him out of the football. When he returned to Sheffield Wednesday, manager Brian Laws was replaced.
Lekaj then left Wednesday after his contract was cancelled in March 2010, having made six appearances for the Owls. He ended up in Lyn and played for them until the club went bankrupt in the summer of 2010.
In 2011 he played for Grorud Illinois in their promotion campaign to the Second Division.