diff --git a/configure b/configure
index 1cdc439a57..1e622f5acb 100755
--- a/configure
+++ b/configure
@@ -2129,9 +2129,6 @@ if test "$pie" != "no" ; then
     QEMU_CFLAGS="-fPIE -DPIE $QEMU_CFLAGS"
     QEMU_LDFLAGS="-pie $QEMU_LDFLAGS"
     pie="yes"
-    if compile_prog "" "-Wl,-z,relro -Wl,-z,now" ; then
-      QEMU_LDFLAGS="-Wl,-z,relro -Wl,-z,now $QEMU_LDFLAGS"
-    fi
   else
     if test "$pie" = "yes"; then
       error_exit "PIE not available due to missing toolchain support"
@@ -2142,6 +2139,12 @@ if test "$pie" != "no" ; then
   fi
 fi
 
+# Detect support for PT_GNU_RELRO + DT_BIND_NOW.
+# The combination is known as "full relro", because .got.plt is read-only too.
+if compile_prog "" "-Wl,-z,relro -Wl,-z,now" ; then
+  QEMU_LDFLAGS="-Wl,-z,relro -Wl,-z,now $QEMU_LDFLAGS"
+fi
+
 ##########################################
 # __sync_fetch_and_and requires at least -march=i486. Many toolchains
 # use i686 as default anyway, but for those that don't, an explicit