diff --git a/opm/simulators/wells/MultisegmentWell.hpp b/opm/simulators/wells/MultisegmentWell.hpp
index e7138ff87..34f9ad54e 100644
--- a/opm/simulators/wells/MultisegmentWell.hpp
+++ b/opm/simulators/wells/MultisegmentWell.hpp
@@ -137,7 +137,7 @@ namespace Opm
                                              WellState& well_state,
                                              DeferredLogger& deferred_logger) const override;
 
-        virtual void  addWellContributions(SparseMatrixAdapter& jacobian) const override;
+        void addWellContributions(SparseMatrixAdapter& jacobian) const override;
 
         virtual void addWellPressureEquations(PressureMatrix& mat,
                                               const BVector& x,
diff --git a/opm/simulators/wells/MultisegmentWellEquations.cpp b/opm/simulators/wells/MultisegmentWellEquations.cpp
index e5fde70b2..219a8a853 100644
--- a/opm/simulators/wells/MultisegmentWellEquations.cpp
+++ b/opm/simulators/wells/MultisegmentWellEquations.cpp
@@ -27,6 +27,9 @@
 #include <opm/common/ErrorMacros.hpp>
 
 #include <opm/simulators/linalg/bda/WellContributions.hpp>
+#include <opm/simulators/linalg/istlsparsematrixadapter.hh>
+#include <opm/simulators/linalg/matrixblock.hh>
+#include <opm/simulators/linalg/SmallDenseMatrixUtils.hpp>
 
 #include <opm/simulators/wells/MSWellHelpers.hpp>
 #include <opm/simulators/wells/MultisegmentWellGeneric.hpp>
@@ -248,8 +251,47 @@ extract(WellContributions& wellContribs) const
                                                  Cvals);
 }
 
+
+template<class Scalar, int numWellEq, int numEq>
+template<class SparseMatrixAdapter>
+void MultisegmentWellEquations<Scalar,numWellEq,numEq>::
+extract(SparseMatrixAdapter& jacobian) const
+{
+    const auto invDuneD = mswellhelpers::invertWithUMFPack<BVectorWell>(numWellEq,
+                                                                        numEq,
+                                                                        *duneDSolver_);
+
+    // We need to change matrix A as follows
+    // A -= C^T D^-1 B
+    // D is a (nseg x nseg) block matrix with (4 x 4) blocks.
+    // B and C are (nseg x ncells) block matrices with (4 x 4 blocks).
+    // They have nonzeros at (i, j) only if this well has a
+    // perforation at cell j connected to segment i.  The code
+    // assumes that no cell is connected to more than one segment,
+    // i.e. the columns of B/C have no more than one nonzero.
+    for (size_t rowC = 0; rowC < duneC_.N(); ++rowC) {
+        for (auto colC = duneC_[rowC].begin(),
+                  endC = duneC_[rowC].end(); colC != endC; ++colC) {
+            const auto row_index = colC.index();
+            for (size_t rowB = 0; rowB < duneB_.N(); ++rowB) {
+                for (auto colB = duneB_[rowB].begin(),
+                          endB = duneB_[rowB].end(); colB != endB; ++colB) {
+                    const auto col_index = colB.index();
+                    OffDiagMatrixBlockWellType tmp1;
+                    detail::multMatrixImpl(invDuneD[rowC][rowB], (*colB), tmp1, std::true_type());
+                    typename SparseMatrixAdapter::MatrixBlock tmp2;
+                    detail::multMatrixTransposedImpl((*colC), tmp1, tmp2, std::false_type());
+                    jacobian.addToBlock(row_index, col_index, tmp2);
+                }
+            }
+        }
+    }
+}
+
 #define INSTANCE(numWellEq, numEq) \
-template class MultisegmentWellEquations<double,numWellEq,numEq>;
+template class MultisegmentWellEquations<double,numWellEq,numEq>; \
+template void MultisegmentWellEquations<double,numWellEq,numEq>:: \
+    extract(Linear::IstlSparseMatrixAdapter<MatrixBlock<double,numEq,numEq>>&) const;
 
 INSTANCE(2,1)
 INSTANCE(2,2)
diff --git a/opm/simulators/wells/MultisegmentWellEquations.hpp b/opm/simulators/wells/MultisegmentWellEquations.hpp
index 059cc9541..42a04a59f 100644
--- a/opm/simulators/wells/MultisegmentWellEquations.hpp
+++ b/opm/simulators/wells/MultisegmentWellEquations.hpp
@@ -94,6 +94,10 @@ public:
     //! \brief Add the matrices of this well to the WellContributions object.
     void extract(WellContributions& wellContribs) const;
 
+    //! \brief Add the matrices of this well to the sparse matrix adapter.
+    template<class SparseMatrixAdapter>
+    void extract(SparseMatrixAdapter& jacobian) const;
+
     // two off-diagonal matrices
     OffDiagMatWell duneB_;
     OffDiagMatWell duneC_;
diff --git a/opm/simulators/wells/MultisegmentWell_impl.hpp b/opm/simulators/wells/MultisegmentWell_impl.hpp
index efd798a95..158005862 100644
--- a/opm/simulators/wells/MultisegmentWell_impl.hpp
+++ b/opm/simulators/wells/MultisegmentWell_impl.hpp
@@ -19,8 +19,6 @@
 */
 
 
-#include <opm/simulators/linalg/SmallDenseMatrixUtils.hpp>
-#include <opm/simulators/wells/MSWellHelpers.hpp>
 #include <opm/simulators/wells/WellBhpThpCalculator.hpp>
 #include <opm/simulators/utils/DeferredLoggingErrorHelpers.hpp>
 #include <opm/input/eclipse/Schedule/MSW/Valve.hpp>
@@ -722,35 +720,7 @@ namespace Opm
     MultisegmentWell<TypeTag>::
     addWellContributions(SparseMatrixAdapter& jacobian) const
     {
-        const auto invDuneD = mswellhelpers::invertWithUMFPack<BVectorWell>(numWellEq,
-                                                                            Indices::numEq,
-                                                                            *this->linSys_.duneDSolver_);
-
-        // We need to change matrix A as follows
-        // A -= C^T D^-1 B
-        // D is a (nseg x nseg) block matrix with (4 x 4) blocks.
-        // B and C are (nseg x ncells) block matrices with (4 x 4 blocks).
-        // They have nonzeros at (i, j) only if this well has a
-        // perforation at cell j connected to segment i.  The code
-        // assumes that no cell is connected to more than one segment,
-        // i.e. the columns of B/C have no more than one nonzero.
-        for (size_t rowC = 0; rowC < this->linSys_.duneC_.N(); ++rowC) {
-            for (auto colC = this->linSys_.duneC_[rowC].begin(),
-                      endC = this->linSys_.duneC_[rowC].end(); colC != endC; ++colC) {
-                const auto row_index = colC.index();
-                for (size_t rowB = 0; rowB < this->linSys_.duneB_.N(); ++rowB) {
-                    for (auto colB = this->linSys_.duneB_[rowB].begin(),
-                              endB = this->linSys_.duneB_[rowB].end(); colB != endB; ++colB) {
-                        const auto col_index = colB.index();
-                        typename Equations::OffDiagMatrixBlockWellType tmp1;
-                        detail::multMatrixImpl(invDuneD[rowC][rowB], (*colB), tmp1, std::true_type());
-                        typename SparseMatrixAdapter::MatrixBlock tmp2;
-                        detail::multMatrixTransposedImpl((*colC), tmp1, tmp2, std::false_type());
-                        jacobian.addToBlock(row_index, col_index, tmp2);
-                    }
-                }
-            }
-        }
+        this->linSys_.extract(jacobian);
     }