The 26 other members of parliament, from Arab and ultra-Orthodox parties, could abstain, allowing the government to be approved without an absolute majority in the Knesset, which has 120 seats.
The unity government he proposed would be made up of key Jewish parties ranging from the center to the right, while excluding the Arab parties.
"Let's meet in one room, without preconditions, put aside all our disagreements and all the boycotts, and reach agreements for the security and the future of the state,"Netanyahu said.
Eisenkot, a former army chief, was tapped on Sunday to form a new government within 28 days, with a possible 14-day extension.
He is in the midst of negotiations to form a new administration. Those talks are expected to be difficult.
Netanyahu has waged a campaign to discredit Arab-Israeli parties, which gained a record number of seats in the election.
He said Netanyahu"knows he lost the election"and was calling for negotiations while they were already under way.
Under the minority plan, the 48 lawmakers in Eisenkot's bloc would vote in favor of his government, against the 46 Netanyahu backers.