Given its numbers in the Rajya Sabha, a united Opposition can vote to send the bill to a select committee.
Law Minister Ravi Shankar Prasad has listed the bill, according to list of business of the Upper House.
This Bill 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.
Most of the parties, particularly the Congress, do not want to be seen as opposing the bill but argue it needs tweaking. The AIADMK and the BJD had also opposed the Clause (4) of the Bill, which according to them, criminalises triple talaq, a form of instant divorce, which otherwise is in the domain of civil jurisdiction.
According to reports, with the numbers not favouring the government in the Rajya Sabha, it would be hard to get the bill passed as was done last Thursday in the Lok Sabha.
All opposition parties and even the Telegu Desam Party (TDP), which is an ally of the ruling BJP, are preparing to send the triple talaq bill to a parliamentary committee, once it is introduced in the Rajya Sabha.
The Lok Sabha has already cleared the 'Muslim Women (Protection of Rights on Marriage) Bill and it is likely to be tabled in the Rajya Sabha on Wednesday.
The triple talaq bill seems to have reunited the opposition, which had fallen apart in the beginning of the winter session.
CPI's Rajya Sabha member D Raja says that the triple talaq bill has been listed for today, "but as far as Left parties are concerned, we will demand that bill should be referred to Select Committee of Rajya Sabha".
The Congress, which had made the demand before the bill was passed by the Lok Sabha by voice vote, had moved some amendments to the legislation but did not press for voting on those. There was no real discussion and the government's brute majority in the Lower House ensured that the bill took only a few hours for it to be passed.
The Congress leader mostly objected to the part in the bill where it makes the utterance of talaq, talaq, talaq a criminal offence, punishable by up to three years in prison and a fine that remains undetermined. "If we put our heads together in good faith, I am certain we can find a way to stop the practice of instant triple talaq, protect women's rights and mitigate risks of abuse from this piece of legislation".