diff --git a/tests/Makefile.am b/tests/Makefile.am
index 0ea587ee..5d387aab 100644
--- a/tests/Makefile.am
+++ b/tests/Makefile.am
@@ -131,7 +131,7 @@ PX_TESTS = \
 
 EXTRA_DIST = FTPServer.pm FTPTest.pm HTTPServer.pm HTTPTest.pm \
              WgetTests.pm WgetFeature.pm WgetFeature.cfg $(PX_TESTS) \
-             certs
+             certs valgrind-suppressions
 
 check_PROGRAMS = unit-tests
 unit_tests_SOURCES =
diff --git a/tests/WgetTests.pm b/tests/WgetTests.pm
index 3d3b9dd4..16451663 100644
--- a/tests/WgetTests.pm
+++ b/tests/WgetTests.pm
@@ -14,6 +14,12 @@ use POSIX qw(locale_h);
 use locale;
 
 our $WGETPATH = '../src/wget';
+our $VALGRIND_SUPP_FILE = Cwd::getcwd();
+if (defined $ENV{'srcdir'}) {
+    $VALGRIND_SUPP_FILE = $VALGRIND_SUPP_FILE
+                          . "/" . $ENV{'srcdir'};
+}
+$VALGRIND_SUPP_FILE = $VALGRIND_SUPP_FILE . '/valgrind-suppressions';
 
 my @unexpected_downloads = ();
 
@@ -122,7 +128,8 @@ sub run
     elsif ($valgrind == 1)
     {
         $cmdline =
-          'valgrind --error-exitcode=301 --leak-check=yes --track-origins=yes '
+          'valgrind --suppressions=' . $VALGRIND_SUPP_FILE
+          . ' --error-exitcode=301 --leak-check=yes --track-origins=yes '
           . $cmdline;
     }
     else
diff --git a/tests/valgrind-suppressions b/tests/valgrind-suppressions
new file mode 100644
index 00000000..4026770e
--- /dev/null
+++ b/tests/valgrind-suppressions
@@ -0,0 +1,8 @@
+{
+   False positive in libidn.so. More info: https://bugzilla.redhat.com/show_bug.cgi?id=678518
+   Memcheck:Addr4
+   fun:idna_to_ascii_4z
+   fun:idna_to_ascii_8z
+   fun:idn_encode
+   fun:url_parse
+}