diff --git a/tutorials/overset/movingMeshTests/movingCylinderInChannelicoDyMOversetFoam/constant/oversetMeshDict b/tutorials/overset/movingMeshTests/movingCylinderInChannelicoDyMOversetFoam/constant/oversetMeshDict
index fced532fb..133b27e79 100644
--- a/tutorials/overset/movingMeshTests/movingCylinderInChannelicoDyMOversetFoam/constant/oversetMeshDict
+++ b/tutorials/overset/movingMeshTests/movingCylinderInChannelicoDyMOversetFoam/constant/oversetMeshDict
@@ -40,7 +40,7 @@ regions
             donorSuitability
             {
                 type      cellVolumes;
-                threshold 0.99;
+                threshold 0.2;
             }
         }
     }
diff --git a/tutorials/overset/movingMeshTests/movingCylinderInChannelpimpleDyMOversetFoam/constant/oversetMeshDict b/tutorials/overset/movingMeshTests/movingCylinderInChannelpimpleDyMOversetFoam/constant/oversetMeshDict
index fced532fb..133b27e79 100644
--- a/tutorials/overset/movingMeshTests/movingCylinderInChannelpimpleDyMOversetFoam/constant/oversetMeshDict
+++ b/tutorials/overset/movingMeshTests/movingCylinderInChannelpimpleDyMOversetFoam/constant/oversetMeshDict
@@ -40,7 +40,7 @@ regions
             donorSuitability
             {
                 type      cellVolumes;
-                threshold 0.99;
+                threshold 0.2;
             }
         }
     }
diff --git a/tutorials/overset/parallelTests/NACA4412-ThreeLayerOverlapFringeAssemby-100Processors/constant/oversetMeshDict b/tutorials/overset/parallelTests/NACA4412-ThreeLayerOverlapFringeAssemby-100Processors/constant/oversetMeshDict
index 123521b11..4747c3e65 100644
--- a/tutorials/overset/parallelTests/NACA4412-ThreeLayerOverlapFringeAssemby-100Processors/constant/oversetMeshDict
+++ b/tutorials/overset/parallelTests/NACA4412-ThreeLayerOverlapFringeAssemby-100Processors/constant/oversetMeshDict
@@ -49,10 +49,10 @@ regions
 
             donorSuitability
             {
-                // Donor/acceptor pair must have cell volumes that differ not
-                // more than 60% of the larger cell
+                // Donor/acceptor pair must have cell volumes that are at least
+                // 40% within each other
                 type        cellVolumes;
-                threshold   0.6;
+                threshold   0.4;
             }
         }
     }
@@ -79,10 +79,10 @@ regions
 
             donorSuitability
             {
-                // Donor/acceptor pair must have cell volumes that differ not
-                // more than 60% of the larger cell
+                // Donor/acceptor pair must have cell volumes that are at least
+                // 50% within each other
                 type        cellVolumes;
-                threshold   0.6;
+                threshold   0.5;
             }
         }
     }
@@ -109,8 +109,8 @@ regions
 
             donorSuitability
             {
-                // Donor/acceptor pair must have cell volumes that differ not
-                // more than 40% of the larger cell
+                // Donor/acceptor pair must have cell volumes that are at least
+                // 40% within each other
                 type        cellVolumes;
                 threshold   0.4;
             }