Gareth Paul Hume was jailed earlier this year for 15 years for orchestrating a plot to supply a kilo of heroin and more than 20,000 ecstasy tablets while on remand for other drugs supply offences at La Moye.
He had used a mobile telephone to conduct the conspiracy which involved several other defendants outside the prison walls.
The drugs were worth up to £645,000 on the street.
Evidence In the Court of Appeal this week Hume’s lawyer claimed that new evidence from one of his co-accused, Darren Roberts, might have cleared his defendant had the jury heard it.
This included claims that the men had been discussing the purchase of a new tracksuit on the telephone rather than arranging a drugs operation as claimed by the prosecution at his trial.