An appointing authority may at any time transfer any classified employee under his or her jurisdiction from one position to another in the same class of position. In every such case the appointing authority shall give written notice of his or her action to the personnel administrator, according to the rules therefor prescribed. Transfer of a classified employee from a position under the jurisdiction of one appointing authority to a position under the jurisdiction of another appointing authority may be made subject to rules established therefor, with the approval of the personnel administrator and of both appointing authorities concerned.