diff --git a/configure.ac b/configure.ac
index 109dccb..85cece8 100644
--- a/configure.ac
+++ b/configure.ac
@@ -160,8 +160,6 @@ if test "$gl_gcc_warnings" = yes; then
   gl_WARN_ADD([-fdiagnostics-show-option])
 fi
 
-gl_VALGRIND_TESTS
-
 AC_CONFIG_FILES(Makefile)
 AC_CONFIG_FILES(tests/Makefile)
 AC_OUTPUT
diff --git a/m4/valgrind-tests.m4 b/m4/valgrind-tests.m4
deleted file mode 100644
index ab9e25a..0000000
--- a/m4/valgrind-tests.m4
+++ /dev/null
@@ -1,34 +0,0 @@
-# valgrind-tests.m4 serial 2
-dnl Copyright (C) 2008-2011 Free Software Foundation, Inc.
-dnl This file is free software; the Free Software Foundation
-dnl gives unlimited permission to copy and/or distribute it,
-dnl with or without modifications, as long as this notice is preserved.
-
-dnl From Simon Josefsson
-
-# gl_VALGRIND_TESTS()
-# -------------------
-# Check if valgrind is available, and set VALGRIND to it if available.
-AC_DEFUN([gl_VALGRIND_TESTS],
-[
-  AC_ARG_ENABLE(valgrind-tests,
-    AS_HELP_STRING([--enable-valgrind-tests],
-                   [run self tests under valgrind]),
-    [opt_valgrind_tests=$enableval], [opt_valgrind_tests=yes])
-
-  # Run self-tests under valgrind?
-  if test "$opt_valgrind_tests" = "yes" && test "$cross_compiling" = no; then
-    AC_CHECK_PROGS(VALGRIND, valgrind)
-  fi
-
-  if test -n "$VALGRIND" && $VALGRIND -q true > /dev/null 2>&1; then
-    opt_valgrind_tests=yes
-    VALGRIND="$VALGRIND -q --error-exitcode=1 --leak-check=full"
-  else
-    opt_valgrind_tests=no
-    VALGRIND=
-  fi
-
-  AC_MSG_CHECKING([whether self tests are run under valgrind])
-  AC_MSG_RESULT($opt_valgrind_tests)
-])