The Upper House will meet at its normal hours of 11 am to 6 pm from Tuesday. The timings were changed to 9 am to 2 pm from last year's monsoon session due to the coronavirus pandemic.
TMC national spokesperson and RS member O'Brien, in his letter, mentioned two precedents when Parliament sessions were adjourned due to polls in states.
The part two of the session is taking place at a time when political parties have their focus on elections in West Bengal, Tamil Nadu, Assam, Kerala and Puducherry.
In the Wednesday's revised List of Business, the Lok Sabha has reserved time for Motion for Election to Committee on Welfare of Other Backward Classes (OBC).
This was demanded by Pinaki Misra, BJD Parliamentary Party leader in Lok Sabha in the All Party meeting held at New Delhi on Saturday for the Budget Session of Parliament.
The prime minister expressed confidence that MPs will not shy away from contributing to make full use of Parliament for fulfilling people's aspirations.