This is in addition to the sale of 55 individual Oddbins' shops announced at the end of April.
Steve Rodell, head of retail at Christie & Co, said: “Once again we will be conducting a short, focused marketing campaign for these 29 stores, aiming at operators and individuals who have an interest in the sector.
“Nine of the second-wave stores are located in and around the Greater London area and should provoke strong interest.”
The London stores include Notting Hill Gate, Richmond, South Kensington and Hampstead.
Offers must be in before 5pm on May 27.
A statement said that offers made for stores in the first wave of 55 were being considered by joint administrators Lee Manning and Matthew Smith at Deloitte.
Christie & Co's website said: “This is a rare and exciting opportunity for experienced, independent operators to acquire former corporate-owned off-licences at attractive prices and without tie.”