Keiron Forbes wasted Rovers' best chance when he fired wide from 12 yards, before Brett Johnson headed over late on for the visitors.
With one game to go, Rovers remain two points clear of the drop zone and have a superior goal difference.
Forest Green: Bittner, Hodgkiss, Luke Jones, Caines, Armstrong, Somner, Allen, McDonald (Gray 87), Forbes, Styche (Matthews 55), Dyer. Subs Not Used: Else, Guinan, Enver-Marum.
Booked: Luke Jones.
AFC Wimbledon: Seb Brown, Jackson, Yakubu, Stuart, Jolley, Wellard, Minshull, Mulley, Nwokeji (Kedwell 62), Kiernan (Johnson 71), Hudson (Mohamed 62). Subs Not Used: Turner, Yussuff.
Att: 1,824.
Ref: Wayne Barratt (Worcestershire).
Source: BBC Sport
Source: BBC Sport