He sad: "The #GYPSYKING says hello, massive respect to all my loyal friends & fans, thanks for all the support messages, bless u all"
Fury beat Wladimir Klitschko on points in November last year and won the WBA, WBO, IBF, IBO, The Ring Magazine belts. And the Manchester fighter was due to fight the Ukrainian in a rematch later this month - but pulled out through injury.
The 28-year-old hopes to be declared champion in recess, which would position him to fight for his belts against whoever holds them once he is declared fit.
And that could mean a mouth-watering battle of Britain with Anthony Joshua as he looks set to step in and fight Klitschko and put his IBF belt on the line as well as at least one of the vacant titles.
Speaking to BBC Radio 5Live on Sunday, Fury's uncle and trainer Peter admitted the camp are happy for his belts to be taken while he is out of action.
"The titles should be freed up, let people fight for them, Wladimir Klitschko, whoever is in line," he said.
"Tyson should be available to fight when he comes back. Put him as a champion in recess. As soon as Tyson is ready and able, hopefully he can fight whoever has the belt and reclaim his title.
"We're boxing people and we want to see fights and world champions. Because Tyson is ill, we're happy for the belts to be freed, provided they can put him as champion in recess. As far as I'm concerned, and my team, that's what we'd be happy with."
There is still some doubt over Fury's return to the ring though, with the British Boxing Board of Control set to meet on Wednesday to decide whether it will withdraw his licence.
In an interview with Rolling Stones magazine, Fury admitted to taking 'lots of cocaine', while claiming he was unsure if he will 'see the year out'.
Ricky Hatton had his licence taken away by the Board in 2010 following widespread allegations about the use of cocaine. It was returned two years later following a personal hearing.
His situation is complicated by his reported failed drugs test by the Voluntary Anti-Doping Agency (VADA) in the United States earlier this month.
VADA have refused to make their findings public, and UK Anti-Doping - which is yet to rule on a separate doping issue regarding Fury - has stressed cocaine is not on its own list of banned substances in out-of-competition testing.
Both Joshua and the reigning WBC champion, Deontay Wilder, have offered their support to Fury, saying they hope he will soon be fit enough to return to the sport.
Joshua said: "Tyson is a fighting man, a real talent and he is good for boxing in his own way. I really hope to see him getting back to what he does best."