diff --git a/Common/DataModel/vtkCellLocator.cxx b/Common/DataModel/vtkCellLocator.cxx
index a6a774c875b9366ae8ea68bbb369dbe0a9063ac7..0389c9d612b8f55ff21cb1a78e08624160d6edf5 100644
--- a/Common/DataModel/vtkCellLocator.cxx
+++ b/Common/DataModel/vtkCellLocator.cxx
@@ -219,7 +219,7 @@ int vtkCellLocator::IntersectWithLine(const double p1[3], const double p2[3], do
             // now, do the expensive GetCell call and the expensive
             // intersect with line call
             this->DataSet->GetCell(cId, cell);
-            if (cell->IntersectWithLine(p1, p2, tol, t, x, pcoords, subId))
+            if (cell->IntersectWithLine(p1, p2, tol, t, x, pcoords, subId) && t < tBest)
             {
               // Make sure that intersection occurs within this octant or else spurious cell
               // intersections can occur behind this bin which are not the correct answer.