fermentor in storage building

I use a mini fridge as a fermentor, and it has been sitting in my bedroom and its time to go. I was thinking about putting it in my storage building, but kind of concerned about the extreme heat. Worried that it could kill the fridge, by over working it. I guess its not much different than someone having a fridge in the garage or a shop other than its much smaller. Anyone have any thoughts on this or experence?