Hall made the transfer in February, just weeks before he admitted indecently assaulting 13 girls in the 1960s, 70s and 80s.
A solicitor representing some of Hall's victims labelled the move "cynical".
The former BBC It's A Knockout Star told the Daily Telegraph that he gave his wife, Hazel, full ownership of their home in Cheshire because he has a heart defect.
"I have got an extreme heart condition and at any moment I'm liable to pop off," he said.
Asked whether he would give his victims compensation, he said: "That's lawyer talk."
Victims of the shamed veteran broadcaster have instructed Alan Collins, a partner at law firm Pannone and a specialist in sexual abuse cases, to pursue civil action in relation to injuries and harm suffered.
One of Stuart Hall's victims exclusively told ITV News "justice has not been done" after the broadcaster was sentenced to 15 months in jail.
Stuart Hall has been jailed for 15 months after admitting 14 counts of indecent assault, relating to 13 girls aged between nine and 17.
Veteran BBC broadcaster Stuart Hall was accused of being a child abuse "predator" today after he admitted indecently assaulting 13 girls.