Kulanu, the new party headed by Likud defector Moshe Kahlon, favors a coalition that would include Zionist Union.
In an interview with Army Radio on Tuesday, Kulanu MK Roy Folkman said that his faction would prefer a national unity government rather than a narrow, right-wing majority government.
Prime Minister Benjamin Netanyahu led Likud to a sweeping victory on Election Day, capturing 30 seats in the 120-seat parliament. The result put the Likud in the most advantageous position, enabling it to cobble together a coalition that presumably would include nationalist parties Bayit Yehudi and Yisrael Beytenu as well as the ultra-Orthodox factions Shas and United Torah Judaism.
Kahlon is now said to be demanding that Netanyahu opt for a national unity government with the center-left Zionist Union instead of a narrow, rightist coalition.