Banerjee has alleged that the Left and Congress are playing dirty politics on it and she will fight the battle alone.
The meeting of like-minded parties has been called on January 13 in New Delhi on the Citizenship (Amendment) Act and police brutality during protests over the new legislation.
Another opposition member Bahujan Samaj Party may also not attend the meet due to its differences with the Congress, sources said.
While Congress is trying to rope in its newest ally Shiv Sena which has 18 members in the Lok Sabha, there is no confirmation from the Sena's side.
Congress sources said that they want a collective opposition against the CAA and police brutality against the students.
Ahead of the opposition meet the Congress Working Committee meeting is scheduled on Saturday to discuss the violence in JNU and the countrywide unrest.
Party sources said that the CWC may pass a resolution to boycott the Citizenship Act in all Congress-ruled states as the party has upped its ante on the NPR on the additional columns in it.
The party has also sent a fact-finding team to the JNU to find out the reason for violence the committee will give its report ahead of the working committee meeting which is likely to be discussed in the meeting.
( With inputs from IANS )