One of their remaining fixtures is a clash with Mike Quirke's Laois.
Meanwhile, footballer Kieran Martin says a return to club action will be a good place to start for county players looking to build up their fitness.
They take on Dublin in the opening round of the Leinster championship, but before that will be aiming to retain their status in division two of the national league.
The Lake County, Laois, Kildare and Clare could all still face the drop.
The versatile attacker says they can't afford to overlook the remaining league fixtures:
Third Time The Charm As Laois Claim Joe McDonagh Cup
Offaly Pupils Become Local Stars After Publishing Bestselling Book
Katie Taylor To Fight At Croke Park In September
Laois And Westmeath Set For Big Tests In Intermediate Camogie Championship
I Knew I Had To Play A Good Round To Win - Ella Cantwell
Mullingar Athletic And Clonaslee United To Clash In Combined Counties Cup Final
Shane Lowry And Rory McIlroy In Contention At Memorial Tournament
There's Serious Competition In The Laois Panel - Mark Dowling
Westmeath Ladies Look To Book All-Ireland Quarter-Final Spot
Alex Dunne Aiming For Big Weekend In Monaco
Offaly Camogie Captain Looking Forward To Kilkenny Clash
Shane Lowry In Action At Memorial Tournament
Laois Aiming To Make It Third Time Lucky In Joe McDonagh Cup Decider
Galway To Host Westmeath On Sunday June 14th
Second Round Draw Made For FAI Cup
Cian Reddy Keeps Up Unbeaten Professional Record
Westmeath Ladies Get Opening Win In All-Ireland Intermediate Championship
Athlone Town Knocked Out Of All-Island Cup
Limerick See Off Offaly In Senior Camogie Championship
Athlone Town Suffer Defeat Away To UCD In First Division