Forest's fellow relegation-ites Gillingham and Rotherham are 12/1 and 20/1 respectively.
Overall the division has a slightly weaker look to it next season with Hull, Luton and Wednesday exiting.
Over the last couple of seasons, newly promoted teams from the bottom division have been able to continue their momentum and mount promotion challenges.
League Two champions Yeovil are 20/1 to add the League One title to that trophy next season.