A Bench headed by NGT chairperson Justice Swatanter Kumar asked the Delhi government to submit reports or studies on the basis of which it planned to enforce the scheme from November 13 to November 17.
The Delhi government counsel said that from next year, with better preparation, it would be in a position to implement the odd-even scheme without any exemption.
The AAP government also said that exemptions are also crucial for women's safety.
Earlier, NGT on Friday asked the Delhi government to submit data or studies on the basis of which it has planned to introduce the odd-even auto rationing formula from next week.
"In light of the the two conditions by NGT on 2 wheelers and women, at the moment we are calling it off".
NGT asked the Arvind Kejriwal government whether it was just the media that was updated about the review petition since nothing has been filed by them in the tribunal court as of yet.More news: Delhi pollution: United Airlines suspends flights to India's capital
The NGT had on November 11 given a conditional nod to the AAP government's decision to implement the odd-even auto rationing scheme for five days from November 13, ordering that no exemption should be allowed to "any person or officer and two-wheelers".
In a plea filed to the NGT, the AAP government sought changes in the tribunal's previous directions on the odd-even scheme implementation. During the meeting, it was discussed that the safety of women can not be compromised and even more Delhi did not have the adequate number of local buses to accommodate the Delhiites, which would be required if the scheme was to be implemented. The AAP had alleged that the subtle burning in Punjab and Haryana, was the main cause of the rising pollution in Delhi.
The Air Quality Index reading in several areas in Delhi was above 500.
New Delhi continued to reel under smoggy conditions on Monday as a thick haze reduced visibility and air quality remained at "hazardous" levels. The harassment one goes through as a woman using public transport was enough to prompt me to put my savings into a depreciating asset; it wasn't just a vehicle for me, it was my independence.
According to the Central Pollution Control Board (CPCB), Delhi's air quality was above the required limits for over 50 hours by 3.00 p.m on Monday. Pollution in Delhi gets aggravated during winter months.
The Delhi Government has cited reports of fluctuating pollution levels in the national capital.