They'll go into the final weekend top of Division Three South.
Offaly have put themselves in pole position to be part of the promotion race from Division Three.
They'll go into the final weekend knowing victory over Tipperary will hand them a shot at promotion against Derry, Fermanagh or Cavan.
The Faithful dispatched Limerick by 0-16 to 1-11 in O'Connor Park with all scores coming from play, a rarity in modern Gaelic Games.
Bernard Allen top scored with 0-5 while four players, Ruiari McNamee, Cian Farrell, Shane Horan and Niall McNamee all contributed two points apiece.
One work on for John Maughan's side will be the number of frees they're conceding, the Treaty nabbed 0-7 of their total from dead balls.
In the other game in the group Tipperary picked up their first win, beating Wicklow 2-12 to 1-12.