Small explained that the line would launch in the coming weeks, with a share of Exotic's profits going towards care for captive tigers.
Last month, Exotic revealed that he was suffering from prostate cancer that was ravaging his body.
The 58-year-old former zookeeper said: "John Phillips [Joe's lawyer] has received my medical records from FMC Fort Worth and my PSA count came back very high for prostate cancer.
"The prison has approved testing to verify what stage it is in. My body is tired, I have lost a tremendous amount of weight, the mouth sores are out of control, I throw up more than I eat."
Exotic - real name Joseph Schreibvogel - also urged President Joe Biden and other US politicians to allow him to be released from prison with a presidential pardon.
He wrote: "I don't want anyone's pity, what I need is when John Phillips gets the evidence he is working on, I need the world to help him get President Biden, VP Harris and the Attorney General to listen to the evidence and see that it's not just city cops out of control with corruption, but his very own Department of Justice and make this right and sign that pardon that Trump left behind so I can go home and get proper medical care and proper food."