The session is likely to go on till first week of April.
A meeting of the Business Advisory Committee will be held soon to decide the date on which the Chief Minister N Rangasamy would present the budget for the fiscal 2015-2016, Assembly sources told PTI.
The House has 30 elected and three nominated legislators. The ruling AINRC has a strength of 15 MLAs and the lone independent member V M C Sivakumaris also supporting the government.
The AIADMK has opposed the modification stating that the revised scheme would meet with failure as several practical difficulties would arise particularly when a major chunk of families were yet to be covered under Unique Identification Number scheme.
The DMK has however welcomed the modification.