diff --git a/dumux/assembly/cclocalassembler.hh b/dumux/assembly/cclocalassembler.hh
index 8c8166a1daf0652aad69a071655e21efebf80e89..36dce650919f8a0f5cec996c8ea54c9ef1fc7466 100644
--- a/dumux/assembly/cclocalassembler.hh
+++ b/dumux/assembly/cclocalassembler.hh
@@ -63,6 +63,8 @@ class CCLocalAssemblerBase : public FVLocalAssemblerBase<TypeTag, Assembler, Imp
     using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView;
     using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
 
+    static_assert(!Assembler::Problem::enableInternalDirichletConstraints(), "Internal Dirichlet constraints are currently not implemented for cc-methods!");
+
 public:
 
     using ParentType::ParentType;
@@ -86,20 +88,6 @@ public:
         {
             res[globalI] = this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables); // forward to the internal implementation
         }
-
-        auto applyDirichlet = [&] (const auto& scvI,
-                                   const auto& dirichletValues,
-                                   const auto eqIdx,
-                                   const auto pvIdx)
-        {
-            res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx];
-            auto& row = jac[scvI.dofIndex()];
-            for (auto col = row.begin(); col != row.end(); ++col)
-                row[col.index()][eqIdx] = 0.0;
-            row[scvI.dofIndex()][eqIdx][pvIdx] = 1.0;
-        };
-
-        this->asImp_().enforceDirichletConstraints(applyDirichlet);
     }
 
     /*!
@@ -110,19 +98,6 @@ public:
     {
         this->asImp_().bindLocalViews();
         this->asImp_().assembleJacobianAndResidualImpl(jac, gridVariables); // forward to the internal implementation
-
-        auto applyDirichlet = [&] (const auto& scvI,
-                                   const auto& dirichletValues,
-                                   const auto eqIdx,
-                                   const auto pvIdx)
-        {
-            auto& row = jac[scvI.dofIndex()];
-            for (auto col = row.begin(); col != row.end(); ++col)
-                row[col.index()][eqIdx] = 0.0;
-            row[scvI.dofIndex()][eqIdx][pvIdx] = 1.0;
-        };
-
-        this->asImp_().enforceDirichletConstraints(applyDirichlet);
     }
 
     /*!
@@ -133,25 +108,6 @@ public:
         this->asImp_().bindLocalViews();
         const auto globalI = this->assembler().fvGridGeometry().elementMapper().index(this->element());
         res[globalI] = this->asImp_().evalLocalResidual()[0]; // forward to the internal implementation
-
-        auto applyDirichlet = [&] (const auto& scvI,
-                                   const auto& dirichletValues,
-                                   const auto eqIdx,
-                                   const auto pvIdx)
-        {
-            res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx];
-        };
-
-        this->asImp_().enforceDirichletConstraints(applyDirichlet);
-    }
-
-    //! Enforce Dirichlet constraints
-    template<typename ApplyFunction>
-    void enforceDirichletConstraints(const ApplyFunction& applyDirichlet)
-    {
-        // currently Dirichlet boundary conditions are weakly enforced for cc-schemes
-        // so here, we only take care of internal Dirichlet constraints (if enabled)
-        this->asImp_().enforceInternalDirichletConstraints(applyDirichlet);
     }
 };
 
diff --git a/dumux/multidomain/subdomaincclocalassembler.hh b/dumux/multidomain/subdomaincclocalassembler.hh
index 3cee0f4353902d97051aa6afd46374d678bf89ca..e96c2f4729dc7f07262d3569438fdaf753ab8fe5 100644
--- a/dumux/multidomain/subdomaincclocalassembler.hh
+++ b/dumux/multidomain/subdomaincclocalassembler.hh
@@ -82,6 +82,8 @@ class SubDomainCCLocalAssemblerBase : public FVLocalAssemblerBase<TypeTag, Assem
     using CouplingManager = typename Assembler::CouplingManager;
     using ElementResidualVector = typename ParentType::LocalResidual::ElementResidualVector;
 
+    static_assert(!Assembler::Problem::enableInternalDirichletConstraints(), "Internal Dirichlet constraints are currently not implemented for cc-methods!");
+
 public:
     //! export the domain id of this sub-domain
     static constexpr auto domainId = typename Dune::index_constant<id>();
@@ -127,20 +129,6 @@ public:
             if (i != id)
                 this->assembleJacobianCoupling(i, jacRow, res[globalI], gridVariables);
         });
-
-        auto applyDirichlet = [&] (const auto& scvI,
-                                   const auto& dirichletValues,
-                                   const auto eqIdx,
-                                   const auto pvIdx)
-        {
-            res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx];
-            auto& row = jacRow[domainId][scvI.dofIndex()];
-            for (auto col = row.begin(); col != row.end(); ++col)
-                row[col.index()][eqIdx] = 0.0;
-            row[scvI.dofIndex()][eqIdx][pvIdx] = 1.0;
-        };
-
-        this->asImp_().enforceDirichletConstraints(applyDirichlet);
     }
 
     /*!
@@ -172,16 +160,6 @@ public:
         this->asImp_().bindLocalViews();
         const auto globalI = this->fvGeometry().fvGridGeometry().elementMapper().index(this->element());
         res[globalI] = this->evalLocalResidual()[0]; // forward to the internal implementation
-
-        auto applyDirichlet = [&] (const auto& scvI,
-                                   const auto& dirichletValues,
-                                   const auto eqIdx,
-                                   const auto pvIdx)
-        {
-            res[scvI.dofIndex()][eqIdx] = this->curElemVolVars()[scvI].priVars()[pvIdx] - dirichletValues[pvIdx];
-        };
-
-        this->asImp_().enforceDirichletConstraints(applyDirichlet);
     }
 
     /*!
@@ -267,15 +245,6 @@ public:
     const Problem& problem() const
     { return this->assembler().problem(domainId); }
 
-    //! Enforce Dirichlet constraints
-    template<typename ApplyFunction>
-    void enforceDirichletConstraints(const ApplyFunction& applyDirichlet)
-    {
-        // currently Dirichlet boundary conditions are weakly enforced for cc-schemes
-        // so here, we only take care of internal Dirichlet constraints (if enabled)
-        this->asImp_().enforceInternalDirichletConstraints(applyDirichlet);
-    }
-
     //! return reference to the coupling manager
     CouplingManager& couplingManager()
     { return couplingManager_; }
diff --git a/test/porousmediumflow/1p/implicit/internaldirichlet/CMakeLists.txt b/test/porousmediumflow/1p/implicit/internaldirichlet/CMakeLists.txt
index 4ec99b479b7301168ad8f0beee51ec65ade3b548..3c5254749d1f4836f5ae588fe9fc53773e98fd10 100644
--- a/test/porousmediumflow/1p/implicit/internaldirichlet/CMakeLists.txt
+++ b/test/porousmediumflow/1p/implicit/internaldirichlet/CMakeLists.txt
@@ -1,13 +1,20 @@
-dune_add_test(NAME test_1p_internaldirichlet_tpfa
-              SOURCES ${CMAKE_SOURCE_DIR}/test/porousmediumflow/1p/implicit/incompressible/main.cc
-              LABELS porousmediumflow 1p
-              COMPILE_DEFINITIONS TYPETAG=OnePInternalDirichletTpfa
-              COMPILE_DEFINITIONS NUMDIFFMETHOD=DiffMethod::analytic
-              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS  --script fuzzy
-                        --files ${CMAKE_SOURCE_DIR}/test/references/test_1p_internaldirichlet_tpfa-reference.vtu
-                                ${CMAKE_CURRENT_BINARY_DIR}/test_1p_internaldirichlet_tpfa-00001.vtu
-                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_1p_internaldirichlet_tpfa ${CMAKE_SOURCE_DIR}/test/porousmediumflow/1p/implicit/incompressible/params.input -Problem.Name test_1p_internaldirichlet_tpfa -Problem.EnableGravity false")
+
+# This feature (internal Dirichlet contraints) is currently not implemented for cc models
+# The compilation triggers a copmiler error (static_assert)
+# Once its implemented replace OnePInternalDirichletBox by OnePInternalDirichletTpfa (and uncomment OnePInternalDirichletTpfa in the problem.hh)
+#    and remove the EXPECT_COMPILE_FAIL flag
+
+# dune_add_test(NAME test_1p_internaldirichlet_tpfa
+#               EXPECT_COMPILE_FAIL
+#               SOURCES ${CMAKE_SOURCE_DIR}/test/porousmediumflow/1p/implicit/incompressible/main.cc
+#               LABELS porousmediumflow 1p
+#               COMPILE_DEFINITIONS TYPETAG=OnePInternalDirichletTpfa
+#               COMPILE_DEFINITIONS NUMDIFFMETHOD=DiffMethod::analytic
+#               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+#               CMD_ARGS  --script fuzzy
+#                         --files ${CMAKE_SOURCE_DIR}/test/references/test_1p_internaldirichlet_tpfa-reference.vtu
+#                                 ${CMAKE_CURRENT_BINARY_DIR}/test_1p_internaldirichlet_tpfa-00001.vtu
+#                         --command "${CMAKE_CURRENT_BINARY_DIR}/test_1p_internaldirichlet_tpfa ${CMAKE_SOURCE_DIR}/test/porousmediumflow/1p/implicit/incompressible/params.input -Problem.Name test_1p_internaldirichlet_tpfa -Problem.EnableGravity false")
 
 dune_add_test(NAME test_1p_internaldirichlet_box
               SOURCES ${CMAKE_SOURCE_DIR}/test/porousmediumflow/1p/implicit/incompressible/main.cc
diff --git a/test/porousmediumflow/1p/implicit/internaldirichlet/problem.hh b/test/porousmediumflow/1p/implicit/internaldirichlet/problem.hh
index 51eba68c36b9c1b52ccd56c98266c380df6e9169..1b10e790583df697856e7776a3566c16a8360472 100644
--- a/test/porousmediumflow/1p/implicit/internaldirichlet/problem.hh
+++ b/test/porousmediumflow/1p/implicit/internaldirichlet/problem.hh
@@ -35,7 +35,8 @@ namespace Properties {
 // Create new type tags
 namespace TTag {
 struct OnePInternalDirichlet {};
-struct OnePInternalDirichletTpfa { using InheritsFrom = std::tuple<OnePInternalDirichlet, OnePIncompressibleTpfa>; };
+// internal Dirichlet BC are currently not implemented for cc-models
+//struct OnePInternalDirichletTpfa { using InheritsFrom = std::tuple<OnePInternalDirichlet, OnePIncompressibleTpfa>; };
 struct OnePInternalDirichletBox { using InheritsFrom = std::tuple<OnePInternalDirichlet, OnePIncompressibleBox>; };
 } // end namespace TTag