N.Y. Crim. Proc. Law § 570.44

§ 570.44 Persons under criminal prosecution in this state at time of\n requisition.\n If a criminal prosecution has been instituted against such person\nunder the laws of this state and is still pending, the governor, in his\ndiscretion, may either surrender him on demand of the executive\nauthority of another state or hold him until he has been tried and\ndischarged or convicted and punished in this state.\n