"We have come to know through newspapers that he may get the Bharat Ratna. It will be a matter of great pride for the whole family if he is chosen for the honour," Shukla told PTI from Raipur.
She said that the honour would be a fitting one for "Vajpayee ji, who has ruled the hearts of the people of this country".
A former Lok Sabha MP, 64-year-old Shukla last year quit BJP and joined Congress.
Bharat Ratna is the highest civilian honour in the country and is given in recognition of exceptional service or for performance of the highest order.
BJP leaders have in the past demanded that the Bharat Ratna be awarded to Vajpayee.
Shukla, who contested the recent general elections as a Congress candidate from Chhattisgarh's Bilaspur, said she was not unhappy over the non-conferment of Bharat Ratna to the BJP icon by the previous governments.
"Every government has its own parameters to decide on Bharat Ratna awardees," she said.
When asked whether she was considering a return to BJP, she said, "I have quit BJP and am now working as a member of Congress."
Speculation is rife that Vajpayee, Netaji Subhas Chandra Bose and hockey legend Dhyan Chand may be named for the Bharat Ratna.
As per the norm, the recommendation for Bharat Ratna is made by the Prime Minister to the President. No formal recommendation is necessary for it.