Bansal said he would hold informal consultations within the government and with various political parties on the issue.
Asked if the session would be advanced or put off till January, Bansal said he would not be able to say anything on the timing till the consultations are over and the Cabinet Committee on Political Affairs (CCPA) formally takes a decision.
Generally the Winter Session is held in the third week of November and continues till the third week of December.
While Himachal Pradesh goes to polls on November 4, elections in Gujarat will be held in two phases on December 13 and 17 and the counting in both the states will be held on December 20.
The Winter Session is considered significant as Trinamool Congress Chief Mamata Banerjee, after moving out of UPA, is threatening to bring a no-confidence motion against the Congress-led government at the Centre.
The Session also attains significance due to the response of various political parties to the recent big ticket reforms initiated by the government, including FDI in pension sector and raising the FDI limit in insurance sector.
The government is facing resistance from some of its present and former allies and the Opposition over its FDI decisions and other economic reform measures. The response of BJP, which boycotted almost the entire last session, is also eagerly awaited.