diff --git a/unsupported/test/sparse_llt.cpp b/unsupported/test/sparse_llt.cpp
index 2fcd8b279..df198cd52 100644
--- a/unsupported/test/sparse_llt.cpp
+++ b/unsupported/test/sparse_llt.cpp
@@ -102,11 +102,14 @@ template<typename Scalar> void sparse_llt(int rows, int cols)
       // with multiple rhs
       ref_X = refMat3.template selfadjointView<Lower>().llt().solve(B);
 
+      #ifndef EIGEN_DEFAULT_TO_ROW_MAJOR
+      // TODO make sure the API is properly documented about this fact
       X = CholmodDecomposition<SparseMatrix<Scalar>, Lower>(m3).solve(B);
       VERIFY(ref_X.isApprox(X,test_precision<Scalar>()) && "LLT: cholmod solve, multiple dense rhs");
       
       X = CholmodDecomposition<SparseMatrix<Scalar>, Upper>(m3).solve(B);
       VERIFY(ref_X.isApprox(X,test_precision<Scalar>()) && "LLT: cholmod solve, multiple dense rhs");
+      #endif
       
       
       // with a sparse rhs