The reports, including by the Haaretz daily and others, say Ari Harrow reached a deal with the prosecutors today.
Israeli police revealed yesterday that Netanyahu is suspected of crimes involving fraud, breach of trust and bribes.
Police have been questioning Netanyahu over allegations that he improperly accepted lavish gifts from wealthy supporters and separately held talks with the publisher of a major Israeli newspaper for positive coverage in exchange for diminishing the impact of a free pro-Netanyahu daily.
Police reportedly have a copy of a recording made by Harrow between Netanyahu and the publisher.