The police are expected to recommend pressing charges against Olmert next month, and Attorney-General Menahem Mazuz will then make a final decision on the case, according to Jerusalem Post.
The premier was questioned by national fraud squad investigators at his official residence for three hours last Friday morning, which was the sixth time Olmert has been interrogated so far since the "money envelopes" scandal went public in May.
The two most recent police investigations center around allegations that Olmert improperly accepted funds from Jewish American businessman Morris Talansky, and that the premier double-and triple-billed organizations for his trips abroad.
The prime minister denies any wrongdoing in any of the cases, all tracing back to the period before he became prime minister in 2006.
Embroiled in the series of probes, Olmert announced late July that he would resign as soon as a new leader of his ruling Kadima was elected. He has also said that he would step down if indicted.
