Auction house Minh Phap will organize the fifth auction on December 30 in Ho Chi Minh City after four failed attempts when no one bid.
The first auction had a reserve price of VND10 billion.
The car is owned by lender BIDV, which seized it from FLC Faros, a construction company owned by FLC, after it failed to repay a loan of nearly VND186 billion.
Other FLC-related assets that are being auctioned are the FLC Albatross yacht and another Rolls-Royce owned by Quyet.
Quyet and two of his sisters are being investigated for fraud following their arrest for alleged stock market manipulation in March and April.