diff --git a/core/package.mk b/core/package.mk
index 4fe058db45..f3713fcf75 100644
--- a/core/package.mk
+++ b/core/package.mk
@@ -4,13 +4,15 @@
 
 $(call record-module-type,PACKAGE)
 
-ifeq ($(TARGET_TRANSLATE_2ND_ARCH),true)
-LOCAL_MULTILIB := first
-endif
-
 my_prefix := TARGET_
 include $(BUILD_SYSTEM)/multilib.mk
 
+ifeq ($(TARGET_TRANSLATE_2ND_ARCH),true)
+  ifneq ($(TARGET_SUPPORTS_64_BIT_APPS)|$(my_module_multilib),|64)
+    my_module_multilib := first
+  endif
+endif
+
 ifeq ($(TARGET_SUPPORTS_32_BIT_APPS)|$(TARGET_SUPPORTS_64_BIT_APPS),true|true)
   # packages default to building for either architecture,
   # the preferred if its supported, otherwise the non-preferred.