The ban was lifted in August ahead of an NADP hearing, which is scheduled to finally take place next month.
Peter Fury, the pair's trainer and Hughie's father, could not comment due to the ongoing legal proceedings. UKAD director of communications Emily Robinson said: 'UK Anti-Doping is unable to comment on ongoing cases.'
There are precedents for the Furys' planned line of defence.
Tong Wen, an Olympic gold medal-winning judoka from China, blamed pork chops when she tested positive for the steroid clenbuterol in 2009. She was cleared due to 'procedural failure' in the laboratory tests.
A year later cyclist Alberto Contador cited a beef steak as the cause of clenbuterol traces being found in his system, but the Spaniard was banned by the Court of Arbitration for Sport in 2012.
In December 2011 UKAD issued a warning advising athletes against eating liver due to the small risk of returning a positive clenbuterol sample if the meat was contaminated.
Tyson Fury has not fought since becoming world champion by beating Wladimir Klitschko in 2015. Last year he cited an injured ankle when pulling out of a rematch against Klitschko on the day UKAD suspended him for the positive test.
He vacated his WBO and WBA titles due to ill-health and the next day the British Boxing Board of Control suspended his licence. But this week Fury announced plans to return to the ring in July and he has started training in Marbella.
On Sunday Hughie Fury pulled out of his title fight against WBO heavyweight champion Joseph Parker with a back injury.