Those who marry an Italian citizen, are eligible for citizenship, after 3 years (if residing in the US). If living in Italy, a person becomes eligible after 6 months of marriage

Does anyone know if it is possible to live in Italy, while the recognition process of jure sanguinis, is being processed at the Consulate in Chicago? The Consulate has my documents, but I was wondering if they would send them to Italy, so that i could go ahead and move there. Is there an Italian law...