diff --git a/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinement.C b/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinement.C
index de0ba87587..0c5945f464 100644
--- a/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinement.C
+++ b/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinement.C
@@ -213,6 +213,14 @@ void Foam::meshRefinement::updateIntersections(const labelList& changedFaces)
         }
     }
 
+    // Extend segments a bit
+    {
+        const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+        start += smallVec;
+        end -= smallVec;
+    }
+
+
     // Do tests in one go
     labelList surfaceHit;
     {
@@ -316,6 +324,14 @@ void Foam::meshRefinement::checkData()
             }
         }
 
+        // Extend segments a bit
+        {
+            const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+            start += smallVec;
+            end -= smallVec;
+        }
+
+
         // Do tests in one go
         labelList surfaceHit;
         {
@@ -2247,6 +2263,14 @@ void Foam::meshRefinement::dumpIntersections(const fileName& prefix) const
             }
         }
 
+        // Extend segments a bit
+        {
+            const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+            start += smallVec;
+            end -= smallVec;
+        }
+
+
         // Do tests in one go
         labelList surfaceHit;
         List<pointIndexHit> surfaceHitInfo;
diff --git a/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementBaffles.C b/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementBaffles.C
index c4846a0265..8f8a532e2c 100644
--- a/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementBaffles.C
+++ b/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementBaffles.C
@@ -283,6 +283,13 @@ void Foam::meshRefinement::getBafflePatches
         }
     }
 
+    // Extend segments a bit
+    {
+        const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+        start += smallVec;
+        end -= smallVec;
+    }
+
 
     // Do test for intersections
     // ~~~~~~~~~~~~~~~~~~~~~~~~~
@@ -2447,6 +2454,13 @@ Foam::autoPtr<Foam::mapPolyMesh> Foam::meshRefinement::zonify
             }
         }
 
+        // Extend segments a bit
+        {
+            const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+            start += smallVec;
+            end -= smallVec;
+        }
+
 
         // Do test for intersections
         // ~~~~~~~~~~~~~~~~~~~~~~~~~
diff --git a/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementRefine.C b/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementRefine.C
index c2e7a6ffd0..96821d4718 100644
--- a/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementRefine.C
+++ b/src/mesh/autoMesh/autoHexMesh/meshRefinement/meshRefinementRefine.C
@@ -626,6 +626,13 @@ Foam::label Foam::meshRefinement::markSurfaceRefinement
         }
     }
 
+    // Extend segments a bit
+    {
+        const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+        start += smallVec;
+        end -= smallVec;
+    }
+
 
     // Do test for higher intersections
     // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
@@ -835,6 +842,14 @@ Foam::label Foam::meshRefinement::markSurfaceCurvatureRefinement
         }
     }
 
+    // Extend segments a bit
+    {
+        const vectorField smallVec(Foam::sqrt(SMALL)*(end-start));
+        start += smallVec;
+        end -= smallVec;
+    }
+
+
     // Test for all intersections (with surfaces of higher max level than
     // minLevel) and cache per cell the max surface level and the local normal
     // on that surface.