diff --git a/CMakeLists.txt b/CMakeLists.txt
index e7b8f152..597a77ac 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1029,15 +1029,6 @@ else()
     add_library(draco::draco ALIAS draco)
 
   else()
-    draco_add_library(
-      NAME draco_static
-      OUTPUT_NAME draco
-      TYPE STATIC
-      DEFINES ${draco_defines}
-      INCLUDES ${draco_include_paths}
-      OBJLIB_DEPS ${draco_object_library_deps}
-      LIB_DEPS ${draco_lib_deps})
-
     if(BUILD_SHARED_LIBS)
       draco_add_library(
         NAME draco_shared
@@ -1046,10 +1037,19 @@ else()
         TYPE SHARED
         DEFINES ${draco_defines}
         INCLUDES ${draco_include_paths}
-        LIB_DEPS draco_static)
+        OBJLIB_DEPS ${draco_object_library_deps}
+        LIB_DEPS ${draco_lib_deps})
       add_library(draco::draco ALIAS draco_shared)
       set_target_properties(draco_shared PROPERTIES EXPORT_NAME draco)
     else()
+      draco_add_library(
+        NAME draco_static
+        OUTPUT_NAME draco
+        TYPE STATIC
+        DEFINES ${draco_defines}
+        INCLUDES ${draco_include_paths}
+        OBJLIB_DEPS ${draco_object_library_deps}
+        LIB_DEPS ${draco_lib_deps})
       add_library(draco::draco ALIAS draco_static)
       set_target_properties(draco_static PROPERTIES EXPORT_NAME draco)
     endif()
diff --git a/cmake/draco_install.cmake b/cmake/draco_install.cmake
index b9dda265..f626acce 100644
--- a/cmake/draco_install.cmake
+++ b/cmake/draco_install.cmake
@@ -66,10 +66,6 @@ macro(draco_setup_install_target)
         ARCHIVE DESTINATION "${libs_path}"
         LIBRARY DESTINATION "${libs_path}")
     else()
-      install(
-        TARGETS draco_static
-        EXPORT dracoExport
-        DESTINATION "${libs_path}")
 
       if(BUILD_SHARED_LIBS)
         install(
@@ -78,6 +74,11 @@ macro(draco_setup_install_target)
           RUNTIME DESTINATION "${bin_path}"
           ARCHIVE DESTINATION "${libs_path}"
           LIBRARY DESTINATION "${libs_path}")
+      else()
+        install(
+          TARGETS draco_static
+          EXPORT dracoExport
+          DESTINATION "${libs_path}")
       endif()
     endif()