The request comes at a time when the Centre plans to take the length of NHs to 2 lakh km from the existing about 1 lakh km.
"The Road Transport and Highways Ministry has received several requests from states to denotify some of their national highway stretches so that they could convert them as district roads," an official said.
The official said the ministry has received a request in writing from the UT of Daman to denotify some of its NH stretches as liquor contributes a major part to the state revenues.
The Centre has given in-principle approval to upgrading 57,500 km of state highways to NHs, subject to outcome of their detailed project reports, to augment the existing 1.13 lakh km of NHs across the country.
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Liquor vends within 500 metres of national and state highways will have to shut down from April 1, the Supreme Court said in its verdict on March 31, exempting hill states of Sikkim, Meghalaya and Himachal Pradesh and areas with a population of up to 20,000.
The verdict had come on a PIL alleging that nearly 1.42 lakh people died per year in road mishaps and the drunken driving is a major contributor.
Sources said some of the state governments, including Andhra Pradesh, are in the process of declaring some of their state highway stretches as district roads.
The ministry has also reduced the threshold traffic for four-laning of NHs to 10,000, 8,500 and 6,000 passenger car units (PCUs) a day, from 15,000, 11,000 and 8,000, for plain, rolling and mountainous terrains, respectively.