Dexter Blackstock scored for the Reds on 15 minutes before Graham's leveller 7 minutes later.
The result keeps Forest nine points above MK Dons in the final relegation place with the same number of points still available to play for.
But, the Reds have a goal difference that is 18 better than their final-day opponents so are all but safe in the Championship for another season.
Only 16,449 watched the action but did see Britt Assombalonga make his return from injury in the final stages of the game.