diff --git a/Source/cmTargetLinkLibrariesCommand.cxx b/Source/cmTargetLinkLibrariesCommand.cxx
index 435346a30..5f3246ace 100644
--- a/Source/cmTargetLinkLibrariesCommand.cxx
+++ b/Source/cmTargetLinkLibrariesCommand.cxx
@@ -432,8 +432,11 @@ cmTargetLinkLibrariesCommand::HandleLibrary(const std::string& lib,
         {
         std::string configLib = this->Target
                                      ->GetDebugGeneratorExpressions(lib, llt);
-        if (cmGeneratorExpression::IsValidTargetName(lib)
-            || cmGeneratorExpression::Find(lib) != std::string::npos)
+        if (cmGeneratorExpression::IsValidTargetName(configLib))
+          {
+          configLib = "$<LINK_ONLY:$<TARGET_NAME:" + configLib + ">>";
+          }
+        else if (cmGeneratorExpression::Find(configLib) != std::string::npos)
           {
           configLib = "$<LINK_ONLY:" + configLib + ">";
           }
diff --git a/Tests/ExportImport/Export/CMakeLists.txt b/Tests/ExportImport/Export/CMakeLists.txt
index 9c50d6cc6..c2ecb0b1c 100644
--- a/Tests/ExportImport/Export/CMakeLists.txt
+++ b/Tests/ExportImport/Export/CMakeLists.txt
@@ -136,6 +136,8 @@ cmake_policy(SET CMP0022 NEW)
 add_library(testLibRequired testLibRequired.c)
 add_library(testLibDepends testLibDepends.c)
 target_link_libraries(testLibDepends LINK_PUBLIC testLibRequired)
+add_library(testStaticLibRequiredPrivate testStaticLibRequiredPrivate.c)
+target_link_libraries(testLibDepends PRIVATE testStaticLibRequiredPrivate)
 cmake_policy(POP)
 
 macro(add_include_lib _libName)
@@ -394,6 +396,10 @@ install(TARGETS
         INCLUDES DESTINATION
           $<INSTALL_PREFIX>/include/$<TARGET_PROPERTY:NAME>
 )
+install(TARGETS
+          testStaticLibRequiredPrivate
+        EXPORT RequiredExp DESTINATION lib
+)
 install(EXPORT RequiredExp NAMESPACE Req:: FILE testLibRequiredTargets.cmake DESTINATION lib/cmake/testLibRequired)
 
 file(MAKE_DIRECTORY "${CMAKE_CURRENT_BINARY_DIR}/installIncludesTest")
diff --git a/Tests/ExportImport/Export/testLibDepends.c b/Tests/ExportImport/Export/testLibDepends.c
index fb5a002e0..3c7774eed 100644
--- a/Tests/ExportImport/Export/testLibDepends.c
+++ b/Tests/ExportImport/Export/testLibDepends.c
@@ -16,5 +16,10 @@
 #endif
 
 extern int testLibRequired(void);
+extern int testStaticLibRequiredPrivate(void);
 
-int testLibDepends(void) { return testLibRequired(); }
+int testLibDepends(void) {
+  return testLibRequired()
+    + testStaticLibRequiredPrivate()
+    ;
+}
diff --git a/Tests/ExportImport/Export/testStaticLibRequiredPrivate.c b/Tests/ExportImport/Export/testStaticLibRequiredPrivate.c
new file mode 100644
index 000000000..28a2675ff
--- /dev/null
+++ b/Tests/ExportImport/Export/testStaticLibRequiredPrivate.c
@@ -0,0 +1 @@
+int testStaticLibRequiredPrivate(void) { return 0; }