Finance minister: 'A day in which a former prime minister is sent to jail is a sad day for Israeli democracy.'
The parties of Yair Lapid, Naftali Bennett and Tzipi Livni have not yet made a decision.
The bill was drawn up following extensive hunger strikes by Palestinians that took place in 2012.
Two Likud legislators to chair Knesset Foreign Affairs and Defense Committee in rotation; Yesh Atid's Shelah rejects deputy minister proposal.
Bill adds place of residence to race, gender, faith and other descriptors that cannot serve as basis for discrimination.
Cabinet ministers from Hatnuah, Yesh Atid and Likud vote in favor of the change, while ministers from Habayit Hayehudi and Yisrael Beiteinu oppose it.
A three-week halt in a process that has continued for 150 years will not force Yesh Atid to leave the government, finance minister says.
Likud sources say Sara Netanyahu is behind the move to postpone the vote because of her animosity toward Reuven Rivlin, who aims to run.
Far-right MK wants to prevent companies from being able to decide where to provide products or services.
Bill, which would restrict presidential pardon of murderers, is bid to prevent government from releasing prisoners as part of negotiations with Palestinians.