We have new 3 year old male cat. He's been with us for 4 months. We also have an 11 year old pitty mix who is quite friendly. She is good with the cat but cat not so much. He does let dog approach him can be nose to nose momentarily. Cat is ok with us but doesn't like to be petted too much. Prefers to be by himself unless it's meal time then he's all friendly rubbing at my legs. I would really like to see dog and cat to be friends and be close to each other. Is that even possible?