Mich. Comp. Laws § 287.273

Sec. 13. No license or license tag issued for 1 dog shall be transferable to another dog. Whenever the ownership or possession of any dog is permanently transferred from 1 person to another within the same county, the license of such dog may be likewise transferred, upon notice given to the county treasurer who shall note such transfer upon his record. This act does not require the procurement of a new license, or the transfer of a license already secured, when the possession of a dog is temporarily transferred, for the purpose of hunting game, or for breeding, trial, or show, in the state of Michigan.