David Hanlon's side returned to Offaly with a losing bonus point on Saturday.
Tullamore had to settle for a losing bonus point in their latest AIL outing over the weekend.
The Offaly club were beaten 28-21 by Belfast Harlequins on Saturday in Deramore Park in Antrim.
That result leaves Tullamore two points clear of bottom side, Omagh Academicals.
Bruff are four points ahead of David Hanlon's side and host Tullamore in Kilballyowen Park in Limerick on Saturday.
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