The Circle of Life programme, initiated by SPCA boss Bob Kerridge, means vet bills and food costs are met by the SPCA and the animal is taken care of if the person can no longer look after them, needs temporary relief or if they pass away before the animal does.
Mr Kerridge said the programme gave a second chance to animals that might be otherwise difficult to re-home.
The animals are vet-checked, micro-chipped and then matched with a carer.
Sir Fred, who is the subject of an upcoming biography, said life had improved since he was given Georgia 10 days ago.
"She is great company, she's a real honey, very well-behaved and well-trained.
"She was sleeping on the bed with me. I had to stop that, but she has her bed and blanket and I put one of my jerseys on her - she likes that," he said.