diff --git a/ChangeLog b/ChangeLog
index fb092bad91..8e276dea86 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,10 @@
+2019-03-04  Florian Weimer  <fweimer@redhat.com>
+
+	* sysdeps/generic/ldsodefs.h (_dl_sysdep_open_zero_fill): Remove
+	declaration.
+	* elf/dl-load.c (_dl_map_object_from_fd): Assume MAP_ANON is
+	defined.
+
 2019-03-04  Stefan Liebler  <stli@linux.ibm.com>
 
 	* sysdeps/s390/s390-64/sysdep.h (ENTRY): Use alignment of 16byte.
diff --git a/elf/dl-load.c b/elf/dl-load.c
index 0e759cf8ca..2bbef81b6e 100644
--- a/elf/dl-load.c
+++ b/elf/dl-load.c
@@ -947,21 +947,6 @@ _dl_map_object_from_fd (const char *name, const char *origname, int fd,
   /* This is the ELF header.  We read it in `open_verify'.  */
   header = (void *) fbp->buf;
 
-#ifndef MAP_ANON
-# define MAP_ANON 0
-  if (_dl_zerofd == -1)
-    {
-      _dl_zerofd = _dl_sysdep_open_zero_fill ();
-      if (_dl_zerofd == -1)
-	{
-	  free (realname);
-	  __close_nocancel (fd);
-	  _dl_signal_error (errno, NULL, NULL,
-			    N_("cannot open zero fill device"));
-	}
-    }
-#endif
-
   /* Signal that we are going to add new objects.  */
   if (r->r_state == RT_CONSISTENT)
     {
diff --git a/sysdeps/generic/ldsodefs.h b/sysdeps/generic/ldsodefs.h
index 37cab6f06b..a7f6b82da6 100644
--- a/sysdeps/generic/ldsodefs.h
+++ b/sysdeps/generic/ldsodefs.h
@@ -689,10 +689,6 @@ rtld_hidden_proto (_dl_starting_up)
 /* Random data provided by the kernel.  */
 extern void *_dl_random attribute_hidden attribute_relro;
 
-/* OS-dependent function to open the zero-fill device.  */
-extern int _dl_sysdep_open_zero_fill (void); /* dl-sysdep.c */
-
-
 /* Write message on the debug file descriptor.  The parameters are
    interpreted as for a `printf' call.  All the lines start with a
    tag showing the PID.  */