diff --git a/PTHREADS.cmake.in b/PTHREADS.cmake.in
index c67c0be..e732b11 100644
--- a/PTHREADS.cmake.in
+++ b/PTHREADS.cmake.in
@@ -67,6 +67,6 @@ else()
   endforeach()
 endif()
 
-if(TARGET Threads::Shared)
+if(TARGET Threads::Shared AND NOT TARGET Threads::Threads)
   add_library(Threads::Threads ALIAS Threads::Shared)
-endif()
\ No newline at end of file
+endif()