Ben Barak, who was the former head of the Foreign Affairs and Defense Committee, stated that he welcomed Lapid's decision to hold elections for the party chairman.
The report caused a new wave of dismissals and condemnations from within both the coalition and the opposition.
The municipal elections, which are held on October 31 this year, hold significant impact on Israelis. Opposition and coalition parties have told their candidates not to sit together.
As the country heads for a showdown, now is the time for creative, responsible thinking on the part of our elected leaders.
Last month, it was the National Unity Party's Matan Kahana who said he would not rule out the possibility of a national unity government. On Monday, it was Stern. Might there be others?
Elazar Stern's faction leader and opposition head Yair Lapid said that a unity government with Netanyahu's Likud would "ruin the country."
Gantz and Lapid denied any intention of joining a unity government with Netanyahu, with Lapid saying that he was not going to bail Netanyahu out and help pave his way to a meeting in Washington
The altering of the Judicial Selection Committee has been a key component of the judicial reform from the outset.
The opposition does not intend to appoint one of its members to the committee, but put forward two candidates in order to prevent an attempt by the coalition to delay the vote once again.
New polling showed that National Unity had weakened in the face of renewed judicial reform debate hinting increased polarization on the topic.