diff --git a/CMakeLists.txt b/CMakeLists.txt
index 2bccc36..c43d139 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -359,9 +359,11 @@
 endif()
 
 if(NOT WIN32 AND NOT APPLE)
-  target_link_libraries(aom ${AOM_LIB_LINK_TYPE} m)
   if(BUILD_SHARED_LIBS)
+    target_link_libraries(aom PRIVATE m)
     target_link_libraries(aom_static ${AOM_LIB_LINK_TYPE} m)
+  else()
+    target_link_libraries(aom ${AOM_LIB_LINK_TYPE} m)
   endif()
 endif()
 
@@ -855,9 +857,11 @@
 
 if(HAVE_PTHREAD_H AND CONFIG_MULTITHREAD)
   find_package(Threads)
-  target_link_libraries(aom ${AOM_LIB_LINK_TYPE} Threads::Threads)
   if(BUILD_SHARED_LIBS)
+    target_link_libraries(aom PRIVATE Threads::Threads)
     target_link_libraries(aom_static ${AOM_LIB_LINK_TYPE} Threads::Threads)
+  else()
+    target_link_libraries(aom ${AOM_LIB_LINK_TYPE} Threads::Threads)
   endif()
 endif()