After meeting state finance ministers, he said there is a broad consensus on implementing the GST regime and efforts will be made to sort out the pending issues, especially with regard to compensation for loss of revenue.
"Fixing compensation issue is critical to roll-out of GST," Jaitley said.
Briefing the media about the meeting, Minister of State for Finance Nirmala Sitharaman said it was difficult to give a timeframe for introduction of the new tax regime, but "it (the constitutional amendments) will happen soon".
The government is looking at the compensation part which has been an issue of concern for all the states, she added.
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"(This) is an issue, with due respect, we have inherited and we would like to work on, we are sorting out," she said.
When asked if Centre gave any assurance to states on compensation, she said: "We are talking with a completely open mind and we have not given any commitment either way for anything."
The long pending tax reform, GST would subsume indirect levies such as excise, service and local taxes, has been highlighted as important agenda of Modi government.
Sitharaman said some of the states demanded inclusion of GST compensation in the Constitution Amendment Bill for introduction of the new indirect tax regime.
"Few states have also asked about keeping petrol and entry tax out of GST but large issue is how are they going to get compensation...," she added.