diff --git a/hooks/conan-center.py b/hooks/conan-center.py
index 64e8f9e6..ecc219cd 100644
--- a/hooks/conan-center.py
+++ b/hooks/conan-center.py
@@ -74,6 +74,7 @@
              "KB-H065": "NO REQUIRED_CONAN_VERSION",
              "KB-H066": "SHORT_PATHS USAGE",
              "KB-H068": "TEST_TYPE MANAGEMENT",
+             "KB-H071": "RELOCATABLE SHARED LIBS",
              }
 
 
@@ -794,6 +795,19 @@ def test(out):
             except Exception as e:
                 out.warn("Invalid conanfile: {}".format(e))
 
+    @run_test("KB-H071", output)
+    def test(out):
+        cmakefile_path = os.path.join(os.path.dirname(conanfile_path), "CMakeLists.txt")
+        if os.path.isfile(cmakefile_path):
+            cmakefile_content = tools.load(cmakefile_path)
+            if "conan_basic_setup(keep_rpaths)" not in cmakefile_content.lower():
+                out.warn("Did not find 'conan_basic_setup(KEEP_RPATHS)' in CMakeLists.txt. Update your CMakeLists.txt.")
+            if "CMAKE_POLICY_DEFAULT_CMP0042" not in conanfile_content:
+                match = re.search(r"cmake_minimum_required\s?\(VERSION (\d?\.?\d?\.?\d+)\)", cmakefile_content, re.I)
+                if match and tools.Version(match.group(1)) < "3.0":
+                    out.warn("CMake policy CMP0042 is not enabled. Use 'cmake_minimum_required(VERSION 3.0)' or "
+                             "enable 'CMAKE_POLICY_DEFAULT_CMP0042' definition.")
+
 
 @raise_if_error_output
 def post_export(output, conanfile, conanfile_path, reference, **kwargs):
diff --git a/tests/test_hooks/conan-center/test_relocatable_libs.py b/tests/test_hooks/conan-center/test_relocatable_libs.py
new file mode 100644
index 00000000..c8275d28
--- /dev/null
+++ b/tests/test_hooks/conan-center/test_relocatable_libs.py
@@ -0,0 +1,72 @@
+import os
+import textwrap
+
+from conans import tools
+
+from tests.utils.test_cases.conan_client import ConanClientTestCase
+
+
+class TestRelocatableLibraries(ConanClientTestCase):
+    conanfile = textwrap.dedent("""\
+        from conans import ConanFile
+
+        class AConan(ConanFile):
+            exports_sources = "CMakeLists.txt"
+            generators = "cmake"
+        """)
+    cmakefile = textwrap.dedent("""\
+        cmake_minimum_required(VERSION 3.1)
+        project(cmake_wrapper)
+        include(conanbuildinfo.cmake)
+        conan_basic_setup(KEEP_RPATHS)
+        add_subdirectory(source_subfolder)
+        """)
+
+    def _get_environ(self, **kwargs):
+        kwargs = super(TestRelocatableLibraries, self)._get_environ(**kwargs)
+        kwargs.update({'CONAN_HOOKS': os.path.join(os.path.dirname(__file__), '..', '..', '..',
+                                                   'hooks', 'conan-center')})
+        return kwargs
+
+    def test_with_keep_rpaths(self):
+        tools.save('conanfile.py', content=self.conanfile)
+        tools.save('CMakeLists.txt', content=self.cmakefile)
+        output = self.conan(['export', '.', 'name/version@user/test'])
+        self.assertIn("[RELOCATABLE SHARED LIBS (KB-H071)] OK", output)
+        self.assertNotIn("WARN: [RELOCATABLE SHARED LIBS (KB-H071)]", output)
+
+    def test_without_keep_rpaths(self):
+        tools.save('conanfile.py', content=self.conanfile)
+        tools.save('CMakeLists.txt', content=self.cmakefile.replace("KEEP_RPATHS", ""))
+        output = self.conan(['export', '.', 'name/version@user/test'])
+        self.assertIn("[RELOCATABLE SHARED LIBS (KB-H071)] OK", output)
+        self.assertIn("WARN: [RELOCATABLE SHARED LIBS (KB-H071)] Did not find "
+                      "'conan_basic_setup(KEEP_RPATHS)' in CMakeLists.txt. "
+                      "Update your CMakeLists.txt.", output)
+
+    def test_cmp0042_without_cmake_version(self):
+        tools.save('conanfile.py', content=self.conanfile)
+        tools.save('CMakeLists.txt', content=self.cmakefile.replace("3.1", "2.8"))
+        output = self.conan(['export', '.', 'name/version@user/test'])
+        self.assertIn("[RELOCATABLE SHARED LIBS (KB-H071)] OK", output)
+        self.assertIn("WARN: [RELOCATABLE SHARED LIBS (KB-H071)] CMake policy CMP0042 is not enabled."
+                      " Use 'cmake_minimum_required(VERSION 3.0)' or "
+                      "enable 'CMAKE_POLICY_DEFAULT_CMP0042' definition.", output)
+
+    def test_cmp0042_with_cmake_policy_def(self):
+        conanfile = textwrap.dedent("""\
+                    from conans import ConanFile, CMake
+
+                    class AConan(ConanFile):
+                        exports_sources = "CMakeLists.txt"
+                        generators = "cmake"
+                        def build(self):
+                            cmake = CMake(self)
+                            cmake.definitions['CMAKE_POLICY_DEFAULT_CMP0042'] = 'YES'
+                            cmake.configure()
+                    """)
+        tools.save('conanfile.py', content=conanfile)
+        tools.save('CMakeLists.txt', content=self.cmakefile.replace("3.1", "2.8"))
+        output = self.conan(['export', '.', 'name/version@user/test'])
+        self.assertIn("[RELOCATABLE SHARED LIBS (KB-H071)] OK", output)
+        self.assertNotIn("WARN: [RELOCATABLE SHARED LIBS (KB-H071)]", output)