diff --git a/elf/Makefile b/elf/Makefile
index 330397e..cd26e16 100644
--- a/elf/Makefile
+++ b/elf/Makefile
@@ -152,7 +152,7 @@ tests += loadtest restest1 preloadtest loadfail multiload origtest resolvfail \
 	 tst-initorder tst-initorder2 tst-relsort1 tst-null-argv \
 	 tst-ptrguard1 tst-tlsalign tst-tlsalign-extern tst-nodelete-opened \
 	 tst-nodelete2 tst-audit11 tst-audit12 tst-dlsym-error tst-noload \
-	 tst-latepthread tst-tls-manydynamic
+	 tst-latepthread tst-tls-manydynamic tst-nodelete-dlclose
 #	 reldep9
 ifeq ($(build-hardcoded-path-in-tests),yes)
 tests += tst-dlopen-aout
@@ -231,7 +231,8 @@ modules-names = testobj1 testobj2 testobj3 testobj4 testobj5 testobj6 \
 		tst-tlsalign-lib tst-nodelete-opened-lib tst-nodelete2mod \
 		tst-audit11mod1 tst-audit11mod2 tst-auditmod11 \
 		tst-audit12mod1 tst-audit12mod2 tst-audit12mod3 tst-auditmod12 \
-		tst-latepthreadmod $(tst-tls-many-dynamic-modules)
+		tst-latepthreadmod $(tst-tls-many-dynamic-modules) \
+		tst-nodelete-dlclose-dso tst-nodelete-dlclose-plugin
 ifeq (yes,$(have-mtls-dialect-gnu2))
 tests += tst-gnu2-tls1
 modules-names += tst-gnu2-tls1mod
@@ -1345,3 +1346,12 @@ ifeq (no,$(nss-crypt))
 $(objpfx)tst-linkall-static: \
   $(common-objpfx)crypt/libcrypt.a
 endif
+
+# The application depends on the DSO, and the DSO loads the plugin.
+# The plugin also depends on the DSO. This creates the circular
+# dependency via dlopen that we're testing to make sure works.
+$(objpfx)tst-nodelete-dlclose-dso.so: $(libdl)
+$(objpfx)tst-nodelete-dlclose-plugin.so: $(objpfx)tst-nodelete-dlclose-dso.so
+$(objpfx)tst-nodelete-dlclose: $(objpfx)tst-nodelete-dlclose-dso.so
+$(objpfx)tst-nodelete-dlclose.out: $(objpfx)tst-nodelete-dlclose-dso.so \
+				   $(objpfx)tst-nodelete-dlclose-plugin.so
diff --git a/elf/dl-close.c b/elf/dl-close.c
index 6489703..ed532e3 100644
--- a/elf/dl-close.c
+++ b/elf/dl-close.c
@@ -805,20 +805,22 @@ _dl_close (void *_map)
 {
   struct link_map *map = _map;
 
+  /* We must take the lock to examine the contents of map whose
+     l_flags_1 or l_direct_opencount may be modified by concurrent
+     dlopen calls.  */
+  __rtld_lock_lock_recursive (GL(dl_load_lock));
+
   /* First see whether we can remove the object at all.  */
   if (__glibc_unlikely (map->l_flags_1 & DF_1_NODELETE))
     {
-      assert (map->l_init_called);
       /* Nope.  Do nothing.  */
+      __rtld_lock_unlock_recursive (GL(dl_load_lock));
       return;
     }
 
   if (__builtin_expect (map->l_direct_opencount, 1) == 0)
     _dl_signal_error (0, map->l_name, NULL, N_("shared object not open"));
 
-  /* Acquire the lock.  */
-  __rtld_lock_lock_recursive (GL(dl_load_lock));
-
   _dl_close_worker (map, false);
 
   __rtld_lock_unlock_recursive (GL(dl_load_lock));
diff --git a/elf/tst-nodelete-dlclose-dso.c b/elf/tst-nodelete-dlclose-dso.c
new file mode 100644
index 0000000..28a58ff
--- /dev/null
+++ b/elf/tst-nodelete-dlclose-dso.c
@@ -0,0 +1,81 @@
+/* Bug 11941: Improper assert map->l_init_called in dlclose.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+/* This is the primary DSO that is loaded by the appliation.  This DSO
+   then loads a plugin with RTLD_NODELETE.  This plugin depends on this
+   DSO.  This dependency chain means that at application shutdown the
+   plugin will be destructed first.  Thus by the time this DSO is
+   destructed we will be calling dlclose() on an object that has already
+   been destructed.  It is allowed to call dlclose() in this way and
+   should not assert.  */
+#include <stdio.h>
+#include <stdlib.h>
+#include <dlfcn.h>
+
+/* Plugin to load.  */
+void *plugin_lib = NULL;
+/* Plugin function.  */
+void (*plugin_func)(void);
+#define LIB_PLUGIN "tst-nodelete-dlclose-plugin.so"
+
+void
+primary(void)
+{
+  char *error;
+
+  plugin_lib = dlopen (LIB_PLUGIN, RTLD_NOW | RTLD_LOCAL | RTLD_NODELETE);
+  if (!plugin_lib)
+    {
+      printf ("ERROR: Unable to load plugin library.\n");
+      exit (EXIT_FAILURE);
+    }
+
+  dlerror ();
+
+  plugin_func = (void (*)(void)) dlsym (plugin_lib, "plugin_func");
+
+  error = dlerror ();
+
+  if (error != NULL)
+    {
+      printf ("ERROR: Unable to find symbol with error \"%s\".",
+	      error);
+      exit (EXIT_FAILURE);
+    }
+
+  return;
+}
+
+__attribute__((destructor))
+void
+primary_dtor(void)
+{
+  int ret;
+  printf ("INFO: Calling primary destructor.\n");
+  /* The destructor runs in the test driver also, which
+     hasn't called primary(), in that case do nothing.  */
+  if (plugin_lib == NULL)
+    return;
+  ret = dlclose (plugin_lib);
+  if (ret != 0)
+    {
+      printf ("ERROR: Calling dlclose failed with \"%s\"\n",
+	      dlerror ());
+      exit (EXIT_FAILURE);
+    }
+}
diff --git a/elf/tst-nodelete-dlclose-plugin.c b/elf/tst-nodelete-dlclose-plugin.c
new file mode 100644
index 0000000..0159d5e
--- /dev/null
+++ b/elf/tst-nodelete-dlclose-plugin.c
@@ -0,0 +1,34 @@
+/* Bug 11941: Improper assert map->l_init_called in dlclose.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+/* This DSO simulates a plugin with a dependency on the
+   primary DSO loaded by the appliation.  */
+#include <stdio.h>
+
+void
+plugin(void)
+{
+  printf("INFO: Calling plugin function.\n");
+}
+
+__attribute__((destructor))
+static void
+plugin_dtor(void)
+{
+  printf("INFO: Calling plugin destructor.\n");
+}
diff --git a/elf/tst-nodelete-dlclose.c b/elf/tst-nodelete-dlclose.c
new file mode 100644
index 0000000..861074e
--- /dev/null
+++ b/elf/tst-nodelete-dlclose.c
@@ -0,0 +1,35 @@
+/* Bug 11941: Improper assert map->l_init_called in dlclose.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+/* This simulates an application using the primary DSO which loads the
+   plugin DSO.  */
+#include <stdio.h>
+#include <stdlib.h>
+
+extern void primary(void);
+
+static int
+do_test(void)
+{
+  printf ("INFO: Starting applicaiton.\n");
+  primary();
+  printf ("INFO: Exiting application.\n");
+  return 0;
+}
+
+#include <support/test-driver.c>
