Former Communications Minister Moshe Kahlon had also reportedly asked the economist to join his new party, Kulanu.
Coincidence of eight-day festival and opening of his reelection campaign is opportune for Netanyahu.
Tribunal to reconvene to discuss whether party leader can expedite process for determining Likud Knesset slate and choose candidates for reserved spots.
Under the deal, there would be a rotating premiership between Labor leader Herzog and Livni, six of the first 25 places on the list would be reserved for for Hatnuah.
Meretz to select Knesset roster on January 19
Labor due to approve slate tonight; Eli Yishai on his way out of Shas; Lieberman does not rule out coalition with Labor.
Foreign minister said earlier his Yisrael Beiteinu party was open to joining both a Netanyahu- and Herzog-led government.
Foreign Minister calls Herzog-Livni merger positive but 'misguided'; Lapid issues harsh attack on Netanyahu's motives for calling early elections.
After Livni-Herzog deal, Channel 2 poll gives the center-left bloc 24 seats and Likud 23; joint Bennett-Netanyahu ticket would win 33, 5 less than they would win separately.
After 30 years in parliament, former party leader resigns amid police graft probe.