A county court has no set timeline for holding an inmate if that inmate has an open warrant in another state or jurisdiction. However, usually after a week or so without having any word on whether or not a person will be extradited, the person in custody will usually be released. To speed up the process, you can hire an attorney to file a emergency Habeas Corpus motion to grant the release of your husband from custody if you can show that there are no legal grounds to hold him custody for an extended period of time.