diff --git a/CHANGES.md b/CHANGES.md
index 9bcc5469..47e74393 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -1,5 +1,10 @@
 # ChangeLog
 
+## vx.x.x
+
+- CMake:
+  - only pass through `OpenMP*LIBRARY` variables if set, and add OpenMP_iomp_LIBRARY to the list (for Intel compiler)
+
 ## v3.6.0
 - build the STIR native Python interface by default (STIR_BUILD_SWIG_PYTHON=ON). You can still switch this off.
 - docker image updates:
diff --git a/SuperBuild.cmake b/SuperBuild.cmake
index 31531b68..cee9de0d 100644
--- a/SuperBuild.cmake
+++ b/SuperBuild.cmake
@@ -3,8 +3,8 @@
 # Author: Edoardo Pasca
 # Author: Casper da Costa-Luis
 # Author: Kris Thielemans
-# Copyright 2017-2021 University College London
-# Copyright 2017-2020 Science Technology Facilities Council
+# Copyright 2017-2024 University College London
+# Copyright 2017-2023 Science Technology Facilities Council
 #
 # This file is part of the CCP SyneRBI Synergistic Image Reconstruction Framework (SIRF) SuperBuild.
 #
@@ -224,19 +224,19 @@ if (NOT DISABLE_OpenMP)
      message(STATUS "OpenMP found, support enabled. If you get compiler errors saying \"omp.h not found\", set the following CMake variables: OpenMP_CXX_INCLUDE_DIR, OpenMP_C_INCLUDE_DIR. For linking errors, check other \"OpenMP\*\" CMake variables as well.")
   
     mark_as_superbuild(ALL_PROJECTS VARS 
-      OpenMP_CXX_FLAGS:STRING OpenMP_CXX_LIB_NAMES:STRING OpenMP_C_FLAGS:STRING 
-      OpenMP_C_LIB_NAMES:STRING OpenMP_CXX_FLAGS:STRING OpenMP_CXX_LIB_NAMES:STRING 
-      OpenMP_libomp_LIBRARY:FILEPATH OpenMP_omp_LIBRARY:FILEPATH
-      OpenMP_gomp_LIBRARY:FILEPATH OpenMP_pthread_LIBRARY:FILEPATH
+      OpenMP_CXX_FLAGS:STRING OpenMP_C_FLAGS:STRING
+      OpenMP_C_LIB_NAMES:STRING OpenMP_CXX_LIB_NAMES:STRING
       )
-    if (OpenMP_CXX_INCLUDE_DIR)
-      mark_as_superbuild(ALL_PROJECTS VARS 
-        OpenMP_CXX_INCLUDE_DIR:PATH)
-    endif()
-    if (OpenMP_C_INCLUDE_DIR)
-      mark_as_superbuild(ALL_PROJECTS VARS 
-        OpenMP_C_INCLUDE_DIR:PATH)
-    endif()
+    foreach (lib in OpenMP_libomp_LIBRARY OpenMP_omp_LIBRARY OpenMP_gomp_LIBRARY OpenMP_iomp_LIBRARY OpenMP_pthread_LIBRARY)
+      if (${lib})
+        mark_as_superbuild(ALL_PROJECTS VARS ${lib}:FILEPATH)
+      endif()
+    endforeach()
+    foreach (path in OpenMP_CXX_INCLUDE_DIR OpenMP_C_INCLUDE_DIR)
+      if (${path})
+        mark_as_superbuild(ALL_PROJECTS VARS ${path}:PATH)
+      endif()
+    endforeach()
   else()
     MESSAGE(STATUS "OpenMP not found, support disabled")
     SET(DISABLE_OpenMP ON CACHE BOOL "Disable OpenMP support for dependencies" FORCE)