diff --git a/arch/Kconfig b/arch/Kconfig
index 2dd8fdd..597b132 100644
--- a/arch/Kconfig
+++ b/arch/Kconfig
@@ -148,7 +148,8 @@
 config GENERIC_SMP_IDLE_THREAD
        bool
 
-config HAVE_GENERIC_INIT_TASK
+# Select if arch init_task initializer is different to init/init_task.c
+config ARCH_INIT_TASK
        bool
 
 config HAVE_REGS_AND_STACK_ACCESS_API