diff --git a/package/binutils/Config.in.host b/package/binutils/Config.in.host
index 36436c0b27..bc7dc4443c 100644
--- a/package/binutils/Config.in.host
+++ b/package/binutils/Config.in.host
@@ -5,7 +5,7 @@ config BR2_PACKAGE_HOST_BINUTILS_SUPPORTS_CFI
 	default y
 	depends on !BR2_microblaze
 
-config BR2_PACKAGE_BINUTILS_HAS_LIBSFRAME
+config BR2_PACKAGE_BINUTILS_HAS_NO_LIBSFRAME
 	bool
 
 choice
@@ -17,18 +17,18 @@ choice
 
 config BR2_BINUTILS_VERSION_2_39_X
 	bool "binutils 2.39"
+	select BR2_PACKAGE_BINUTILS_HAS_NO_LIBSFRAME
 
 config BR2_BINUTILS_VERSION_2_40_X
 	bool "binutils 2.40"
-	select BR2_PACKAGE_BINUTILS_HAS_LIBSFRAME
 
 config BR2_BINUTILS_VERSION_2_41_X
 	bool "binutils 2.41"
-	select BR2_PACKAGE_BINUTILS_HAS_LIBSFRAME
 
 config BR2_BINUTILS_VERSION_ARC
 	bool "binutils arc (2.34.50)"
 	depends on BR2_arc
+	select BR2_PACKAGE_BINUTILS_HAS_NO_LIBSFRAME
 
 endchoice
 
diff --git a/package/binutils/binutils.mk b/package/binutils/binutils.mk
index ecb00077d6..4bc1b69fa0 100644
--- a/package/binutils/binutils.mk
+++ b/package/binutils/binutils.mk
@@ -105,7 +105,7 @@ endif
 # our TARGET_CONFIGURE_ARGS are taken into consideration for those
 BINUTILS_MAKE_ENV = $(TARGET_CONFIGURE_ARGS)
 
-ifeq ($(BR2_PACKAGE_BINUTILS_HAS_LIBSFRAME),y)
+ifeq ($(BR2_PACKAGE_BINUTILS_HAS_NO_LIBSFRAME),)
 define BINUTILS_INSTALL_STAGING_LIBSFRAME
 	$(TARGET_MAKE_ENV) $(MAKE) -C $(@D)/libsframe DESTDIR=$(STAGING_DIR) install
 endef