I have an appointment for my 10 month old cat, Jazz, to get neutered next week. He has only sprayed in my house twice but I'm wondering if it will stop completely after he's neutered? I am really on guard with him right now and am keeping him in one of our bathrooms on the linoleum for fear of him ruining my carpets (we rent). My questions is..... Will the neuter keep him from spraying so I can let him freely roam the house again?