India had said last month that it would be mandatory for all persons - adults or children - travelling to the country from Pakistan to furnish proof of vaccination against polio from January 30.
"The deadline for all travellers from Pakistan to India to obtain polio vaccination and certificate has been extended to February 14, 2014," said a statement from the Indian High Commission.
Indian diplomatic sources said the extension was made so that Pakistani authorities could make required arrangements.
The measure is applicable to all travellers from all countries where polio is endemic or where cases of polio have been reported. It will also apply to Indian nationals travelling from countries where polio is endemic.
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Travellers from Pakistan will have to carry their vaccination records because evidence of polio vaccination will be requested for entry into India.
Travellers should take Oral Polio Vaccine at least six weeks before their departure to India but not more than a year before the trip.
The Pakistani Taliban have banned polio vaccinations in parts of the lawless tribal belt and militants frequently attack vaccination teams, accusing them of being Western spies and part of a plot to "sterilise" Muslims.
The WHO recently said polio that crippled 13 children in Syria was caused by a strain that originated in Pakistan.