The 28-year-old has to wait until a UKAD (UK anti-doping) inquiry has concluded.
The 28-year-old, who has not fought since beating Wladimir Klitschko to win the WBA, WBO and IBF heavyweight titles in November 2015, has to wait until a UKAD (UK anti-doping) inquiry has concluded.
Fury and cousin and fellow heavyweight Hughie Fury tested positive for the banned steroid nandrolone in 2015.
The inquiry was halted last week by UKAD reportedly because of a potential conflict of interest involving a member of its panel.
If they find against Fury -- both deny the allegations -- he could face a far longer absence from the ring.
"(If it drags on with UKAD then the hearing) won’t be heard until October," said Warren.
"It's a liberty. There's going to be a scream about that.
"That can't be right. The man's got a living to get and this thing took place in 2015.
"It's disgraceful. You've either got a case or you haven't got a case."
Warren, 62, said if UKAD speeded up the process and found Fury had not taken the steroid then he could be back in the ring by July -- with his ultimate goal a title fight with compatriot Anthony Joshua, who beat Klitschko in an epic bout last month.
Warren said Fury was training hard towards a possible return on July 8 in London.
Fury beat Klitschko on points in a world title fight in November 2015 and once held both the International Boxing Federation (IBF) and World Boxing Association (WBA) belts now held by Joshua.
But he hasn't boxed since, with mental health problems forcing him to relinquish his titles, while his licence to box was subsequently suspended by the British Boxing Board of Control.