It's now four wins in five games for the Division 2C club.
Tullamore extended their unbeaten run in AIL rugby over the weekend.
The Offaly club were in Cork to take on Midleton, looking to go a fifth game unbeaten.
In difficult playing conditions Darin Classin's side ran out narrow winners, by 11 to 7.
Tullamore sit five points outside the promotion play-off positions with five regular season games remaining.