diff --git a/cmake/FindMKL.cmake b/cmake/FindMKL.cmake
index 38db391d29..a0c389b5ae 100644
--- a/cmake/FindMKL.cmake
+++ b/cmake/FindMKL.cmake
@@ -83,7 +83,7 @@ endif()
 endif() # MKL::MKL
 
 # For compatibility with legacy libpaw_interface CMakeLists.txt
-if(TARGET MKL::MKL)
+if(TARGET MKL::MKL AND NOT TARGET IntelMKL::MKL)
   add_library(IntelMKL::MKL ALIAS MKL::MKL)
 endif()