Okruashvili, once a key ally of newly re-elected Georgian President Mikheil Saakashvili, is currently in a French jail after his extradition from Germany, where he was arrested last year on November 27 at the request of Georgian authorities.
He has been charged by the Caucasus state with the abuse of office, money laundering and corruption and is currently seeking political asylum in France.
"A Paris court will begin hearing the case on Okruashvili's extradition on January 23," Lili Gelashvili said. "The verdict is due to be passed next week."
"We are expecting a decision in our favor. There is a great likelihood that Okruashvili will be freed and, accordingly, will not be extradited to Georgia," she added.
She also commented that due to Okruashvili's current financial difficulties he would be defended by a French lawyer.
The defense will also appeal against the decision of a Berlin court to extend custody of Okruashvili.
The former Georgian defense minister was deported from Germany to France, where he had been issued a Schengen visa, on January 9 after he had requested political asylum in Berlin.
Under an agreement between countries within the Schengen visa-free zone, a request for political asylum is reviewed by the country that issued the visa to the person making the claim.
Okruashvili was initially arrested in Georgia in September of last year after publicly accusing President Saakashvili of ordering the murders of political opponents and of plotting to seize a breakaway region. He later backed down on the accusations, and was released on $6 million bail. He subsequently fled Georgia.
Okruashvili's accusations sparked mass street protests in the Georgian capital Tbilisi in early November. Saakashvili called early elections to defuse the situation after riot police had brutally dispersed protesters and a state of emergency was briefly imposed. Saakashvili then won the January 5 snap elections with 53% of the vote.
