N.J. Stat. § 2A:160-5
If any person charged with the crime of murder in this state is undergoing imprisonment in any other state, territory or district of the United States for a term less than imprisonment for life, and the governor of this state shall make demand for the return to this state of the person so charged, the governor may agree with the executive authority of such state, territory or district that, if the person so charged shall, on his trial in this state, be acquitted, or shall be convicted of the crime of manslaughter, or any degree of murder the punishment for which is less than death or imprisonment for life, such person shall be returned immediately to such other state, territory or district, at the expense of this state. The costs incident to the return of such person shall be borne by the county in which such person was tried for the crime of murder.
This section shall be subject to the provisions of the constitution of the United States controlling, and the acts of congress enacted in pursuance thereof.
N.J.S. § 2A:160-5