diff --git a/sysdeps/unix/sysv/linux/Makefile b/sysdeps/unix/sysv/linux/Makefile
index 94b933310b..b206f77594 100644
--- a/sysdeps/unix/sysv/linux/Makefile
+++ b/sysdeps/unix/sysv/linux/Makefile
@@ -108,7 +108,7 @@ tests += tst-clone tst-clone2 tst-clone3 tst-fanotify tst-personality \
tst-rlimit-infinity tst-ofdlocks tst-gettid tst-gettid-kill \
tst-tgkill tst-sysvsem-linux tst-sysvmsg-linux tst-sysvshm-linux \
tst-timerfd tst-ppoll tst-futimens tst-utime tst-utimes \
- tst-futimes
+ tst-futimes tst-lutimes
tests-internal += tst-ofdlocks-compat tst-sigcontext-get_pc
diff --git a/sysdeps/unix/sysv/linux/tst-lutimes.c b/sysdeps/unix/sysv/linux/tst-lutimes.c
new file mode 100644
index 0000000000..9e30691bbe
--- /dev/null
+++ b/sysdeps/unix/sysv/linux/tst-lutimes.c
@@ -0,0 +1,95 @@
+/* Basix test for utimes.
+ Copyright (C) 2021 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
+ . */
+
+#include
+#include
+#include
+#include
+#include
+
+#ifndef struct_stat
+# define struct_stat struct stat64
+#endif
+
+static int temp_fd = -1;
+static char *testfile;
+static char *testlink;
+
+/* struct timeval array with Y2038 threshold minus 2 and 1 seconds. */
+const static struct timeval t1[2] = { { 0x7FFFFFFE, 0 }, { 0x7FFFFFFF, 0 } };
+
+/* struct timeval array with Y2038 threshold plus 1 and 2 seconds. */
+const static struct timeval t2[2] = { { 0x80000001ULL, 0 },
+ { 0x80000002ULL, 0 } };
+
+/* struct timeval array around Y2038 threshold. */
+const static struct timeval t3[2] = { { 0x7FFFFFFE, 0 },
+ { 0x80000002ULL, 0 } };
+
+#define PREPARE do_prepare
+static void
+do_prepare (int argc, char *argv[])
+{
+ temp_fd = create_temp_file ("utimes", &testfile);
+ TEST_VERIFY_EXIT (temp_fd > 0);
+
+ testlink = xasprintf ("%s-symlink", testfile);
+ xsymlink (testfile, testlink);
+ add_temp_file (testlink);
+}
+
+static int
+test_utime_helper (const struct timeval *tv)
+{
+ /* Check if we run on port with 32 bit time_t size */
+ time_t t;
+ if (__builtin_add_overflow (tv->tv_sec, 0, &t))
+ return 0;
+
+ struct_stat stfile_orig;
+ xlstat (testfile, &stfile_orig);
+
+ TEST_VERIFY_EXIT (lutimes (testlink, tv) == 0);
+
+ struct_stat stlink;
+ xlstat (testlink, &stlink);
+
+ TEST_COMPARE (stlink.st_atime, tv[0].tv_sec);
+ TEST_COMPARE (stlink.st_mtime, tv[1].tv_sec);
+
+ /* Check if the timestamp from original file is not changed. */
+ struct_stat stfile;
+ xlstat (testfile, &stfile);
+
+ TEST_COMPARE (stfile_orig.st_atime, stfile.st_atime);
+ TEST_COMPARE (stfile_orig.st_mtime, stfile.st_mtime);
+
+ return 0;
+}
+
+static int
+do_test (void)
+{
+ test_utime_helper (&t1[0]);
+ test_utime_helper (&t2[0]);
+ test_utime_helper (&t3[0]);
+
+ return 0;
+}
+
+#include