diff --git a/sysdeps/unix/sysv/linux/alpha/nptl/sysdep-cancel.h b/sysdeps/unix/sysv/linux/alpha/nptl/sysdep-cancel.h
index 7e61d68573..aa42768f70 100644
--- a/sysdeps/unix/sysv/linux/alpha/nptl/sysdep-cancel.h
+++ b/sysdeps/unix/sysv/linux/alpha/nptl/sysdep-cancel.h
@@ -163,13 +163,13 @@ extern int __local_multiple_threads attribute_hidden;
 
 #else
 
-# ifdef IS_IN_rtld
-#  define SINGLE_THREAD_P \
-  __builtin_expect (THREAD_GETMEM (THREAD_SELF, \
-				   header.multiple_threads) == 0, 1)
-# else
-#  define SINGLE_THREAD_P (1)
-# endif
+# define SINGLE_THREAD_P (1)
 # define NO_CANCELLATION 1
 
 #endif
+
+#ifndef __ASSEMBLER__
+# define RTLD_SINGLE_THREAD_P \
+  __builtin_expect (THREAD_GETMEM (THREAD_SELF, \
+				   header.multiple_threads) == 0, 1)
+#endif