It depends on your interpretation of reincarnation.
I believe we are all created as spirit.
I believe that as spirit we are placed in a human form to learn.
I believe that one day the body we are in will die.
I believe that we will revert back to spirit.
I do not know if our spirit will be placed into another human form though.
I do not believe that our spirit will be placed into any animal.
That is what I believe to be true. Time will tell if it is right or not when I die.