Fans queued from midnight on Friday to snap-up the 4,500 allocation which sold-out at 9.45am after the ticket office opened early at 8.15am.
The club has decided to open its hospitality suites and show the game live after thousands of Reds were left without tickets.
Forest's commercial manager Matt Eames said: "This is our biggest away game and it is important we try to help as many fans as possible to see the match."
Just over 1,000 suite tickets, priced at £10 for adults and £5 for concessions, are available now and fans are urged to buy soon to avoid disappointment.