When Yosef Hayim was only twenty-five years old, his father died. Despite his youth, the Jews of Baghdad accepted him to fill his father's place as the leading rabbinic scholar of Baghdad, though he never filled the official position of Hakham Bashi. The Sephardic Porat Yosef Yeshiva in Jerusalem, was founded on his advice by Joseph Shalom, of Calcutta, India—one of Rabbi Hayim's patrons.