diff -urN a/CMakeLists.txt b/CMakeLists.txt
--- a/CMakeLists.txt	2020-03-03 00:03:12.000000000 +0100
+++ b/CMakeLists.txt	2021-05-15 15:02:03.496210691 +0200
@@ -682,6 +682,9 @@
   if (MPI_C_LINK_FLAGS)
     set (CMAKE_EXE_LINKER_FLAGS "${MPI_C_LINK_FLAGS} ${CMAKE_EXE_LINKER_FLAGS}")
   endif ()
+  if(UNIX)
+    set(ompi-c_PC_LIBS_PRIVATE ${MPI_C_LIBRARIES})
+  endif()
 endif ()
 
 #option (DEFAULT_API_VERSION "Enable v1.12 API (v16, v18, v110, v112)" "v112")
diff -urN a/CMakeFilters.cmake b/CMakeFilters.cmake
--- a/CMakeFilters.cmake	2020-03-03 00:03:12.000000000 +0100
+++ b/CMakeFilters.cmake	2021-05-15 12:35:58.453641554 +0200
@@ -55,6 +55,7 @@
         if (ZLIB_FOUND)
           set (LINK_COMP_LIBS ${LINK_COMP_LIBS} ${ZLIB_LIBRARIES})
           set (LINK_COMP_SHARED_LIBS ${LINK_COMP_SHARED_LIBS} ${ZLIB_LIBRARIES})
+          set (zlib_PC_LIBS_PRIVATE "${ZLIB_LIBRARIES}")
         endif ()
       endif ()
     endif ()
@@ -130,6 +131,7 @@
     set (LINK_COMP_SHARED_LIBS ${LINK_COMP_SHARED_LIBS} ${SZIP_SHARED_LIBRARY})
   endif ()
   set (LINK_COMP_LIBS ${LINK_COMP_LIBS} ${SZIP_STATIC_LIBRARY})
+  set (szip_PC_LIBS_PRIVATE "${SZIP_STATIC_LIBRARY}")
   INCLUDE_DIRECTORIES (${SZIP_INCLUDE_DIRS})
   message (STATUS "Filter SZIP is ON")
   if (H5_HAVE_FILTER_SZIP)
diff -urN a/src/CMakeLists.txt b/src/CMakeLists.txt
--- a/src/CMakeLists.txt	2020-03-03 00:03:12.000000000 +0100
+++ b/src/CMakeLists.txt	2021-05-15 12:41:34.762354040 +0200
@@ -1259,6 +1259,15 @@
 
 set (_PKG_CONFIG_REQUIRES)
 set (_PKG_CONFIG_REQUIRES_PRIVATE)
+set(_PKG_CONFIG_LIBS_PRIVATE " ${_PKG_CONFIG_LIBS_PRIVATE} ")
+foreach(_module IN ITEMS ompi-c szip zlib)
+    if(${_module}_PC_LIBS_PRIVATE)
+        foreach(_lib IN LISTS ${_module}_PC_LIBS_PRIVATE)
+            string(REPLACE " -l${_lib} " " " _PKG_CONFIG_LIBS_PRIVATE "${_PKG_CONFIG_LIBS_PRIVATE}")
+        endforeach()
+        string(APPEND _PKG_CONFIG_REQUIRES_PRIVATE " ${_module}")
+    endif()
+endforeach()
 
 configure_file (
     ${HDF_RESOURCES_DIR}/libhdf5.pc.in