He seems pretty much okay with you doing that. Saying that he normally takes in strays and lets them stay for a bit. He tells you about how there is a cat door on the back door you can use to get in, as well as a mat in the kitchen for you to sleep on. Treating oh so very much like a common house cat. Then he mentions if you lead any heat back to his house he is turning you in immediately, and if you are lucky he will go to your auction and buy you if the price is low enough.