diff --git a/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h b/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h
index 91fb21c262f..ad2eca30e8f 100644
--- a/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h
+++ b/Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h
@@ -23,6 +23,7 @@
 #include <map>
 #include <vector>
 #include <list>
+#include <CGAL/config.h>
 
 namespace CGAL {
 
@@ -130,8 +131,12 @@ namespace CGAL {
     return first;
   }
 
+#ifndef CGAL_NO_DEPRECATED_CODE
+/*!
+  \deprecated This function is deprecated since CGAL 5.6. Use `read_plane_graph_in_lcc()` instead.
+*/
 template< class LCC >
-[[deprecated("Use read_plane_graph_in_lcc instead")]]
+CGAL_DEPRECATED
 typename LCC::Dart_descriptor
 import_from_plane_graph(LCC& alcc,
                         const std::vector<typename LCC::Point>& vertices,
@@ -139,6 +144,7 @@ import_from_plane_graph(LCC& alcc,
 {
   return read_plane_graph_in_lcc(alcc, vertices, edge_indices);
 }
+#endif
 
   /**
    * Imports a plane-embedded graph from a file into a LinearCellComplex.
@@ -198,13 +204,18 @@ import_from_plane_graph(LCC& alcc,
     return read_plane_graph_in_lcc(alcc, vertices, edge_indices);
   }
 
-template <class LCC>
-[[deprecated("Use read_plane_graph_in_lcc instead")]]
+#ifndef CGAL_NO_DEPRECATED_CODE
+/*!
+  \deprecated This function is deprecated since CGAL 5.6. Use `read_plane_graph_in_lcc()` instead.
+*/
+template< class LCC >
+CGAL_DEPRECATED
 typename LCC::Dart_descriptor
 import_from_plane_graph(LCC& alcc, std::istream& ais)
 {
   return read_plane_graph_in_lcc(alcc, ais);
 }
+#endif
 
   template < class LCC >
   typename LCC::Dart_descriptor
@@ -215,13 +226,18 @@ import_from_plane_graph(LCC& alcc, std::istream& ais)
     return read_plane_graph_in_lcc(alcc, input);
   }
 
-template <class LCC>
-[[deprecated("Use read_plane_graph_in_lcc instead")]]
+#ifndef CGAL_NO_DEPRECATED_CODE
+/*!
+  \deprecated This function is deprecated since CGAL 5.6. Use `read_plane_graph_in_lcc()` instead.
+*/
+template< class LCC >
+CGAL_DEPRECATED
 typename LCC::Dart_descriptor
 import_from_plane_graph(LCC& alcc, const char* filename)
 {
   return read_plane_graph_in_lcc(alcc, filename); 
 }
+#endif
 
   template < class LCC >
   bool load_off(LCC& alcc, std::istream& in)
diff --git a/Linear_cell_complex/test/Linear_cell_complex/CMakeLists.txt b/Linear_cell_complex/test/Linear_cell_complex/CMakeLists.txt
index 249c1f9c8be..613e7058057 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/CMakeLists.txt
+++ b/Linear_cell_complex/test/Linear_cell_complex/CMakeLists.txt
@@ -38,4 +38,22 @@ cgal_add_compilation_test(Linear_cell_complex_4_test_index)
 add_executable(Linear_cell_complex_copy_test_index Linear_cell_complex_copy_test.cpp ${hfiles})
 target_compile_definitions(Linear_cell_complex_copy_test_index PRIVATE USE_COMPACT_CONTAINER_WITH_INDEX)
 target_link_libraries(Linear_cell_complex_copy_test_index PRIVATE CGAL CGAL::Data)
-cgal_add_compilation_test(Linear_cell_complex_copy_test_index)
\ No newline at end of file
+cgal_add_compilation_test(Linear_cell_complex_copy_test_index)
+
+# Test sans warning de dépréciation pour test_plane_graph_alias
+add_executable(test_plane_graph_alias_nowarn test_plane_graph_alias.cpp ${hfiles})
+target_compile_definitions(test_plane_graph_alias_nowarn PRIVATE CGAL_NO_DEPRECATION_WARNINGS)
+target_link_libraries(test_plane_graph_alias_nowarn PRIVATE CGAL CGAL::Data)
+cgal_add_compilation_test(test_plane_graph_alias_nowarn)
+
+# Test sans warning de dépréciation pour test_polyhedron_3_alias
+add_executable(test_polyhedron_3_alias_nowarn test_polyhedron_3_alias.cpp ${hfiles})
+target_compile_definitions(test_polyhedron_3_alias_nowarn PRIVATE CGAL_NO_DEPRECATION_WARNINGS)
+target_link_libraries(test_polyhedron_3_alias_nowarn PRIVATE CGAL CGAL::Data)
+cgal_add_compilation_test(test_polyhedron_3_alias_nowarn)
+
+# Test sans warning de dépréciation pour test_triangulation_alias
+add_executable(test_triangulation_alias_nowarn test_triangulation_alias.cpp ${hfiles})
+target_compile_definitions(test_triangulation_alias_nowarn PRIVATE CGAL_NO_DEPRECATION_WARNINGS)
+target_link_libraries(test_triangulation_alias_nowarn PRIVATE CGAL CGAL::Data)
+cgal_add_compilation_test(test_triangulation_alias_nowarn)
\ No newline at end of file
diff --git a/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp b/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp
index 72c51642c0e..e1aa4732a80 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp
+++ b/Linear_cell_complex/test/Linear_cell_complex/test_plane_graph_alias.cpp
@@ -1,3 +1,4 @@
+#include <CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h>
 #include <CGAL/Linear_cell_complex_for_combinatorial_map.h>
 #include <CGAL/Linear_cell_complex_constructors.h>
 #include <cassert>
@@ -22,7 +23,7 @@ int main()
   input.clear();
   input.seekg(0, std::ios::beg);
 
-  #if !defined(CGAL_NO_DEPRECATED_CODE) && !defined(CGAL_NO_DEPRECATION_WARNINGS)
+  #ifndef CGAL_NO_DEPRECATED_CODE
   // Test deprecated function
   auto d2 = CGAL::import_from_plane_graph(lcc2, input);
   assert(d2 != LCC::null_descriptor);
diff --git a/Linear_cell_complex/test/Linear_cell_complex/test_polyhedron_3_alias.cpp b/Linear_cell_complex/test/Linear_cell_complex/test_polyhedron_3_alias.cpp
index 9b471aa4822..210a751ac88 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/test_polyhedron_3_alias.cpp
+++ b/Linear_cell_complex/test/Linear_cell_complex/test_polyhedron_3_alias.cpp
@@ -1,4 +1,5 @@
 #include <CGAL/Linear_cell_complex_for_combinatorial_map.h>
+#include <CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h>
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/Polyhedron_3_to_lcc.h> 
 #include <sstream>
@@ -20,7 +21,7 @@ int main()
   auto d1 = CGAL::polyhedron_3_to_lcc(lcc1, P); 
   assert(d1 == LCC::null_descriptor);
 
-#if !defined(CGAL_NO_DEPRECATED_CODE) && !defined(CGAL_NO_DEPRECATION_WARNINGS)
+#ifndef CGAL_NO_DEPRECATED_CODE
   auto d2 = CGAL::import_from_polyhedron_3<LCC>(lcc2, P); 
   assert(d2 == LCC::null_descriptor);
 #endif
diff --git a/Linear_cell_complex/test/Linear_cell_complex/test_triangulation_alias.cpp b/Linear_cell_complex/test/Linear_cell_complex/test_triangulation_alias.cpp
index 0cc22dd6727..427e772eb0b 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/test_triangulation_alias.cpp
+++ b/Linear_cell_complex/test/Linear_cell_complex/test_triangulation_alias.cpp
@@ -1,4 +1,5 @@
 #include <CGAL/Linear_cell_complex_for_combinatorial_map.h>
+#include <CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h>
 #include <CGAL/Delaunay_triangulation_3.h>
 #include <CGAL/Triangulation_3_to_lcc.h>
 #include <cassert>
@@ -17,7 +18,7 @@ int main()
   auto d1 = CGAL::triangulation_3_to_lcc(lcc1, T);
   assert(d1 == LCC_3::null_descriptor);
 
-#if !defined(CGAL_NO_DEPRECATED_CODE) && !defined(CGAL_NO_DEPRECATION_WARNINGS)
+#ifndef CGAL_NO_DEPRECATED_CODE
   auto d2 = CGAL::import_from_triangulation_3(lcc2, T);
   assert(d2 == LCC_3::null_descriptor);
 #endif
diff --git a/Polyhedron/include/CGAL/Polyhedron_3_to_lcc.h b/Polyhedron/include/CGAL/Polyhedron_3_to_lcc.h
index cdcf6317ea1..aaf1dfeeb33 100644
--- a/Polyhedron/include/CGAL/Polyhedron_3_to_lcc.h
+++ b/Polyhedron/include/CGAL/Polyhedron_3_to_lcc.h
@@ -21,6 +21,7 @@
 #include <iostream>
 #include <map>
 #include <CGAL/Polyhedron_3.h>
+#include <CGAL/config.h>
 
 namespace CGAL {
 
@@ -94,14 +95,21 @@ namespace CGAL {
     return firstAll;
   }
 
+#ifndef CGAL_NO_DEPRECATED_CODE
+
+/*!
+  \deprecated This function is deprecated since CGAL 5.6. Use `polyhedron_3_to_lcc()` instead.
+*/
 template< class LCC, class Polyhedron >
-[[deprecated("Use polyhedron_3_to_lcc instead")]]
+CGAL_DEPRECATED
 typename LCC::Dart_descriptor
 import_from_polyhedron_3(LCC& alcc, const Polyhedron &apoly)
 {
   return polyhedron_3_to_lcc<LCC, Polyhedron>(alcc, apoly);
 }
 
+#endif // CGAL_NO_DEPRECATED_CODE
+
   /** Convert a Polyhedron_3 read into a flux into 3D linear cell complex.
    * @param alcc the linear cell complex where Polyhedron_3 will be converted.
    * @param ais the istream where read the Polyhedron_3.
diff --git a/Triangulation_3/include/CGAL/Triangulation_3_to_lcc.h b/Triangulation_3/include/CGAL/Triangulation_3_to_lcc.h
index abd6caf2c51..42b686a6f54 100644
--- a/Triangulation_3/include/CGAL/Triangulation_3_to_lcc.h
+++ b/Triangulation_3/include/CGAL/Triangulation_3_to_lcc.h
@@ -19,6 +19,7 @@
 #include <CGAL/assertions.h>
 #include <map>
 #include <CGAL/Weighted_point_3.h>
+#include <CGAL/config.h>
 
 namespace CGAL {
 
@@ -149,15 +150,20 @@ namespace CGAL {
     return dart;
   }
 
-  template < class LCC, class Triangulation >
-[[deprecated("Use triangulation_3_to_lcc instead")]]
-typename LCC::Dart_descriptor import_from_triangulation_3
-(LCC& alcc, const Triangulation &atr,
- std::map<typename Triangulation::Cell_handle,
-          typename LCC::Dart_descriptor >* avol_to_dart=nullptr)
+#ifndef CGAL_NO_DEPRECATED_CODE
+/*!
+  \deprecated This function is deprecated since CGAL 5.6. Use `triangulation_3_to_lcc()` instead.
+*/
+template <class LCC, class Triangulation>
+CGAL_DEPRECATED
+typename LCC::Dart_descriptor
+import_from_triangulation_3(LCC& alcc, const Triangulation& atr,
+                            std::map<typename Triangulation::Cell_handle,
+                                     typename LCC::Dart_descriptor>* avol_to_dart = nullptr)
 {
   return triangulation_3_to_lcc(alcc, atr, avol_to_dart);
 }
+#endif
 
 } // namespace CGAL