Prime Minister's Office (PMO) has asked ministries to take up implementation of direct cash transfer scheme on a "war footing" before the launch of the programme on January 1.
The Commission also expressed concern over the announcement and expected the government to avoid doing so during the operation of model code.
BJP leader Ravi Shankar Prasad also hit back by questioning the Congress' seriousness on the issue.
Of the 51 districts, where the cash-transfer schemes will be implemented to Aadhar account holders, four of them are in Gujarat.
The Election Commission has conveyed its unhappiness to the Centre over the announcement of its direct cash transfer scheme when the Model Code in poll- bound Gujarat is in force and has asked for a report to be submitted to it by this evening.
Advani was also accompanied by Leader of Opposition in the Lok Sabha Sushma Swaraj.
The party has also said it is not opposed to the scheme.
80% of India is not covered under Aadhaar. Maharashtra and Andhra Pradesh, which are politically significant states for the Congress, are the only states with some coverage at 35% and 57%, respectively.
"It is a politically revolutionary step. It was a promise we made in the 2009 manifesto," added Rural Development Minister Jairam Ramesh, who accompanied Chidambaram.
"Aap ka paisa aapke haath" was how Minister for Rural Development Jairam Ramesh chose to describe the cash transfer scheme which the Prime Minister Manmohan Singh said will be rolled out across 51 districts in the country.
Will the government be able to belie doubts over direct cash transfers? Initial indications are it will.