Investigating judge Christina Forstner said on Monday that the hearing would be held on June 27.
A decision as to whether the hearing will be open to the public will be made at the hearing itself, the judge said. At a hearing in early May, Zagorec asked the investigating judge that the hearing be held behind closed doors.
Extradition hearings in Austria are usually public.
According to information from the Austrian parliament, Zagorec, a former assistant defence minister, is expected to be interviewed on July 2 by an Austrian parliamentary commission investigating the operation of Austrian banks.
Zagorec is suspected of laundering large amounts of money in the Hypo Alpe Adria Bank. The Austrian weekly Profil has reported that he might have laundered money also in the Austria Creditanstalt bank.
Zagorec, who has lived in Austria for the last seven years, was arrested in Vienna in mid March on an international arrest warrant issued by Croatia. He was released from custody after paying bail amounting to EUR 1 million.
He is charged with abuse of office and with stealing jewels from a Defence Ministry safe worth USD 5 million.
At two previous hearings at the Vienna court he opposed his extradition to Croatia.