diff --git a/Help/prop_sf/OBJECT_NAME.rst b/Help/prop_sf/OBJECT_NAME.rst
index 2424a5aacb..d3c09599c4 100644
--- a/Help/prop_sf/OBJECT_NAME.rst
+++ b/Help/prop_sf/OBJECT_NAME.rst
@@ -24,3 +24,7 @@ allow for context-sensitive (i.e., configuration-dependent) expressions.
    * Generated PCH source files (``cmake_pch``)
    * Generated Unity compilation files (``unity_``)
    * Qt autogen sources (``moc_compilations.cpp``)
+
+.. note::
+   The :generator:`FASTBuild` and :generator:`Xcode` generators do not support
+   this property and it is ignored.
diff --git a/Source/cmGlobalFastbuildGenerator.h b/Source/cmGlobalFastbuildGenerator.h
index 1cb08b4ea8..139e3897fe 100644
--- a/Source/cmGlobalFastbuildGenerator.h
+++ b/Source/cmGlobalFastbuildGenerator.h
@@ -356,6 +356,8 @@ public:
 
   bool IsMultiConfig() const override { return false; }
 
+  bool SupportsCustomObjectNames() const override { return false; }
+
   void ComputeTargetObjectDirectory(cmGeneratorTarget*) const override;
   void AppendDirectoryForConfig(std::string const& prefix,
                                 std::string const& config,
diff --git a/Source/cmGlobalGenerator.h b/Source/cmGlobalGenerator.h
index 23241dcccc..38091de0c2 100644
--- a/Source/cmGlobalGenerator.h
+++ b/Source/cmGlobalGenerator.h
@@ -174,6 +174,8 @@ public:
     return false;
   }
 
+  virtual bool SupportsCustomObjectNames() const { return true; }
+
   virtual bool SupportsBuildDatabase() const { return false; }
   bool AddBuildDatabaseTargets();
   void AddBuildDatabaseFile(std::string const& lang, std::string const& config,
diff --git a/Source/cmGlobalXCodeGenerator.h b/Source/cmGlobalXCodeGenerator.h
index 55c1dd3e5e..4a3efd79a4 100644
--- a/Source/cmGlobalXCodeGenerator.h
+++ b/Source/cmGlobalXCodeGenerator.h
@@ -116,6 +116,8 @@ public:
 
   bool ShouldStripResourcePath(cmMakefile*) const override;
 
+  bool SupportsCustomObjectNames() const override { return false; }
+
   /**
    * Used to determine if this generator supports DEPFILE option.
    */
diff --git a/Source/cmLocalGenerator.cxx b/Source/cmLocalGenerator.cxx
index b5b6f43006..2e338c3ad7 100644
--- a/Source/cmLocalGenerator.cxx
+++ b/Source/cmLocalGenerator.cxx
@@ -4336,7 +4336,8 @@ std::string cmLocalGenerator::GetObjectFileNameWithoutTarget(
     useShortObjectNames = *forceShortObjectName;
   }
 
-  if (!useShortObjectNames) {
+  if (!useShortObjectNames &&
+      this->GetGlobalGenerator()->SupportsCustomObjectNames()) {
     auto customName = this->GetCustomObjectFileName(source);
     if (!customName.empty()) {
       auto ext = this->GlobalGenerator->GetLanguageOutputExtension(source);
diff --git a/Tests/RunCMake/OBJECT_NAME/RunCMakeTest.cmake b/Tests/RunCMake/OBJECT_NAME/RunCMakeTest.cmake
index 5735eecc25..91ee6e683c 100644
--- a/Tests/RunCMake/OBJECT_NAME/RunCMakeTest.cmake
+++ b/Tests/RunCMake/OBJECT_NAME/RunCMakeTest.cmake
@@ -8,6 +8,18 @@ if (RunCMake_GENERATOR STREQUAL "Xcode" AND "$ENV{CMAKE_OSX_ARCHITECTURES}" MATC
   return ()
 endif ()
 
+if (RunCMake_GENERATOR STREQUAL "FASTBuild")
+  # FASTBuild does not offer full control over object paths. Just skip all
+  # tests rather than expecting some half-supported behavior.
+  return ()
+endif ()
+
+if (RunCMake_GENERATOR STREQUAL "Xcode")
+  # Xcode does not offer full control over object paths. Just skip all tests
+  # rather than expecting some half-supported behavior.
+  return ()
+endif ()
+
 function(run_build_test case)
   set(RunCMake_TEST_BINARY_DIR ${RunCMake_BINARY_DIR}/${case}-build)
   set(RunCMake_TEST_OPTIONS -DCMAKE_BUILD_TYPE:STRING=Debug)