diff --git a/Tests/RunCMake/CXXModules/RunCMakeTest.cmake b/Tests/RunCMake/CXXModules/RunCMakeTest.cmake
index 75e062e663..f34d9357af 100644
--- a/Tests/RunCMake/CXXModules/RunCMakeTest.cmake
+++ b/Tests/RunCMake/CXXModules/RunCMakeTest.cmake
@@ -226,6 +226,9 @@ if ("named" IN_LIST CMake_TEST_MODULE_COMPILATION)
   if ("cxx_std_23" IN_LIST CMAKE_CXX_COMPILE_FEATURES AND
       "import_std23" IN_LIST CMake_TEST_MODULE_COMPILATION)
     run_cxx_module_test(import-std)
+    set(RunCMake_CXXModules_NO_TEST 1)
+    run_cxx_module_test(import-std-no-std-property)
+    unset(RunCMake_CXXModules_NO_TEST)
   endif ()
 endif ()
 
diff --git a/Tests/RunCMake/CXXModules/examples/import-std-no-std-property-build-result.txt b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property-build-result.txt
new file mode 100644
index 0000000000..d00491fd7e
--- /dev/null
+++ b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property-build-result.txt
@@ -0,0 +1 @@
+1
diff --git a/Tests/RunCMake/CXXModules/examples/import-std-no-std-property-build-stdout.txt b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property-build-stdout.txt
new file mode 100644
index 0000000000..d47333329b
--- /dev/null
+++ b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property-build-stdout.txt
@@ -0,0 +1 @@
+((Clang)?module 'std' not found|(MSVC)?could not find module 'std')
diff --git a/Tests/RunCMake/CXXModules/examples/import-std-no-std-property/CMakeLists.txt b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property/CMakeLists.txt
new file mode 100644
index 0000000000..4ec4e36497
--- /dev/null
+++ b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property/CMakeLists.txt
@@ -0,0 +1,10 @@
+cmake_minimum_required(VERSION 3.29)
+project(cxx_modules_import_std_no_std_property CXX)
+
+include("${CMAKE_SOURCE_DIR}/../cxx-modules-rules.cmake")
+
+set(CMAKE_CXX_MODULE_STD 0)
+
+add_executable(main
+  main.cxx)
+target_compile_features(main PRIVATE cxx_std_23)
diff --git a/Tests/RunCMake/CXXModules/examples/import-std-no-std-property/main.cxx b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property/main.cxx
new file mode 100644
index 0000000000..fee84f12c3
--- /dev/null
+++ b/Tests/RunCMake/CXXModules/examples/import-std-no-std-property/main.cxx
@@ -0,0 +1,6 @@
+import std;
+
+int main(int argc, char* argv[])
+{
+  return 0;
+}