Brinda Karat of CPI(M), who spearheaded the campaign for women's reservation along with some other women leaders, has been inducted into the key Parliamentary panel studying the measure.
The Parliamentary Standing Committee on Law and Justice, headed by senior Congress MP E M Sudarsana Natchiappan has also asked political parties to give their opinion on the issue by June 10.
Karat will be the third woman member after Najma Heptulla (BJP) and Prabha Thakur (Congress) were inducted in the body, which earlier comprised only men.
The Committee will meet on May 27 for the first time after the Bill was referred to it on the last day of the Budget session of Parliament.
"If the Committee agrees, we will be meeting every Tuesday in June to complete the task," Natchiappan told PTI. The Committee has been asked to give its report within three months.
The panel chief said that he is also addressing leaders of national and regional political parties to give their opinion in a written format by June 10 and appear before the Committee on June 17 and 18.
He said that the Committee has already inserted newspaper advertisements inviting suggestions from the public eliciting their views on the issue.
There could be more women members in the committee as there are five vacancies from the Lok Sabha which are expected to be filled soon.
Incidentally, RJD has brought in its Parliamentary party leader Devendra Prasad Yadav, a known opponent of the Women's Reservation Bill in its present form, in the key Committee.
Devendra replaced Anirudh Prasad alias Sadhu Yadav, who has resigned from the Committee.
Devendra had recently threatened that his party may snap ties with the UPA if its demand for sub-quota for OBCs and minorities in the legislation was not conceded.
The Bill seeks to earmark 33 per cent seats for women in Lok Sabha and state assemblies but major parties like RJD, SP and JD(U) have thrown a spanner into the move by demanding quota within quota for women belonging to SC, ST and OBCs.