Luca lost the appeal in a court in Cyprus on Wednesday, reported the Star.
There is now one more legal avenue left for him to take – to ask three Supreme Court judges in Cyprus to review his court application.
If that fails, he will be extradited to South Africa.
Jackson, the owner of the Teazers franchise of strip clubs, was shot dead at a house in Edleen near the OR Tambo International Airport on May 3 2010.
Luca, also known as Luca Smith, allegedly phoned Gauteng crime intelligence boss Joey Mabasa and confessed to killing Jackson shortly after the murder. He was caught in Cyprus in March 2012 after being on the run since 2010.
Luca previously told the Sunday Times that he did not believe he would be granted a fair trial. – Sapa