diff --git a/stdlib/Makefile b/stdlib/Makefile
index 29b7cd7071..6518d8993b 100644
--- a/stdlib/Makefile
+++ b/stdlib/Makefile
@@ -86,7 +86,7 @@ tests		:= tst-strtol tst-strtod testmb testrand testsort testdiv   \
 		   tst-makecontext-align test-bz22786 tst-strtod-nan-sign \
 		   tst-swapcontext1 tst-setcontext4 tst-setcontext5 \
 		   tst-setcontext6 tst-setcontext7 tst-setcontext8 \
-		   tst-setcontext9 tst-bz20544
+		   tst-setcontext9 tst-bz20544 tst-canon-bz26341
 
 tests-internal	:= tst-strtod1i tst-strtod3 tst-strtod4 tst-strtod5i \
 		   tst-tls-atexit tst-tls-atexit-nodelete
@@ -101,6 +101,7 @@ LDLIBS-test-atexit-race = $(shared-thread-library)
 LDLIBS-test-at_quick_exit-race = $(shared-thread-library)
 LDLIBS-test-cxa_atexit-race = $(shared-thread-library)
 LDLIBS-test-on_exit-race = $(shared-thread-library)
+LDLIBS-tst-canon-bz26341 = $(shared-thread-library)
 
 LDLIBS-test-dlclose-exit-race = $(shared-thread-library) $(libdl)
 LDFLAGS-test-dlclose-exit-race = $(LDFLAGS-rdynamic)
diff --git a/stdlib/tst-canon-bz26341.c b/stdlib/tst-canon-bz26341.c
new file mode 100644
index 0000000000..63474bddaa
--- /dev/null
+++ b/stdlib/tst-canon-bz26341.c
@@ -0,0 +1,108 @@
+/* Check if realpath does not consume extra stack space based on symlink
+   existance in the path (BZ #26341)
+   Copyright (C) 2020 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
+   <https://www.gnu.org/licenses/>.  */
+
+#include <stdlib.h>
+#include <string.h>
+#include <sys/param.h>
+
+#include <support/check.h>
+#include <support/support.h>
+#include <support/temp_file.h>
+#include <support/xunistd.h>
+#include <support/xthread.h>
+
+static char *filename;
+static size_t filenamelen;
+static char *linkname;
+
+static int
+maxsymlinks (void)
+{
+#ifdef MAXSYMLINKS
+  return MAXSYMLINKS;
+#else
+  long int sysconf_symloop_max = sysconf (_SC_SYMLOOP_MAX);
+  return sysconf_symloop_max <= 0
+	 ? _POSIX_SYMLOOP_MAX
+	 : sysconf_symloop_max;
+#endif
+}
+
+#ifndef PATH_MAX
+# define PATH_MAX 1024
+#endif
+
+static void
+create_link (void)
+{
+  int fd = create_temp_file ("tst-canon-bz26341", &filename);
+  TEST_VERIFY_EXIT (fd != -1);
+  xclose (fd);
+
+  char *prevlink = filename;
+  int maxlinks = maxsymlinks ();
+  for (int i = 0; i < maxlinks; i++)
+    {
+      linkname = xasprintf ("%s%d", filename, i);
+      xsymlink (prevlink, linkname);
+      add_temp_file (linkname);
+      prevlink = linkname;
+    }
+
+  filenamelen = strlen (filename);
+}
+
+static void *
+do_realpath (void *arg)
+{
+  /* Old implementation of realpath allocates a PATH_MAX using alloca
+     for each symlink in the path, leading to MAXSYMLINKS times PATH_MAX
+     maximum stack usage.
+     This stack allocations tries fill the thread allocated stack minus
+     both the thread (plus some slack) and the realpath (plus some slack).
+     If realpath uses more than 2 * PATH_MAX plus some slack it will trigger
+     a stackoverflow.  */
+
+  const size_t realpath_usage = 2 * PATH_MAX + 1024;
+  const size_t thread_usage = 1 * PATH_MAX + 1024;
+  size_t stack_size = support_small_thread_stack_size ()
+		      - realpath_usage - thread_usage;
+  char stack[stack_size];
+  char *resolved = stack + stack_size - thread_usage + 1024;
+
+  char *p = realpath (linkname, resolved);
+  TEST_VERIFY (p != NULL);
+  TEST_COMPARE_BLOB (resolved, filenamelen, filename, filenamelen);
+
+  return NULL;
+}
+
+static int
+do_test (void)
+{
+  create_link ();
+
+  pthread_t th = xpthread_create (support_small_stack_thread_attribute (),
+				  do_realpath, NULL);
+  xpthread_join (th);
+
+  return 0;
+}
+
+#include <support/test-driver.c>
diff --git a/support/support_set_small_thread_stack_size.c b/support/support_set_small_thread_stack_size.c
index 69d66e97db..74a0e38a72 100644
--- a/support/support_set_small_thread_stack_size.c
+++ b/support/support_set_small_thread_stack_size.c
@@ -20,8 +20,8 @@
 #include <pthread.h>
 #include <support/xthread.h>
 
-void
-support_set_small_thread_stack_size (pthread_attr_t *attr)
+size_t
+support_small_thread_stack_size (void)
 {
   /* Some architectures have too small values for PTHREAD_STACK_MIN
      which cannot be used for creating threads.  Ensure that the stack
@@ -31,5 +31,11 @@ support_set_small_thread_stack_size (pthread_attr_t *attr)
   if (stack_size < PTHREAD_STACK_MIN)
     stack_size = PTHREAD_STACK_MIN;
 #endif
-  xpthread_attr_setstacksize (attr, stack_size);
+  return stack_size;
+}
+
+void
+support_set_small_thread_stack_size (pthread_attr_t *attr)
+{
+  xpthread_attr_setstacksize (attr, support_small_thread_stack_size ());
 }
diff --git a/support/xthread.h b/support/xthread.h
index 05f8d4a7d9..6ba2f5a18b 100644
--- a/support/xthread.h
+++ b/support/xthread.h
@@ -78,6 +78,8 @@ void xpthread_attr_setguardsize (pthread_attr_t *attr,
 /* Set the stack size in ATTR to a small value, but still large enough
    to cover most internal glibc stack usage.  */
 void support_set_small_thread_stack_size (pthread_attr_t *attr);
+/* Return the stack size used on support_set_small_thread_stack_size.  */
+size_t support_small_thread_stack_size (void);
 
 /* Return a pointer to a thread attribute which requests a small
    stack.  The caller must not free this pointer.  */
