Alias Yousaf, the solicitor of Adil Khan said: "From the outset of this trial there have been attempts, by right wing organisations to influence the outcome."
On May 3, while the jury was still deliberating on its verdicts, Nick Griffin, the leader of the British National Party, tweeted: "Newsflash: Seven of the Muslim paedophile ring found guilty in Liverpool."
A far-right organisation called the Infidels of Great Britain also reported on its website that seven defendants had been found guilty.
Mr Yousaf said: "It is of great concern that the chairman of the British National Party appeared to have been aware of the verdicts before they were even communicated to the court."
He said the jury's impartiality, which is "the cornerstone of any fair trial" may have been compromised and he was launching an appeal on those grounds.