The Indian Union Muslim League (IUML) has claimed that various Muslim bodies in the country would move the Supreme Court if the bill is also passed by the Rajya Sabha.
Meanwhile, the government, which lacks a majority in the Rajya Sabha is leaving no stone unturned for smooth passage of the bill.
The bill, which makes instant triple illegal with up to three years in jail for the husband, was passed by the Lok Sabha last week.
It gives power to the victim to approach a magistrate seeking "subsistence allowance" for herself and minor children in the case of instant triple talaq or talaq-e-biddat.
A victim can also seek the custody of her minor children from the magistrate.
Under the law, instant triple talaq in any form --spoken, in writing or by electronic means such as email, SMS and WhatsApp -- would be illegal and void.