diff --git a/tests/t8000-valgrind-zip.pl b/tests/t8000-valgrind-zip.pl
index ad7597c..8c96b85 100755
--- a/tests/t8000-valgrind-zip.pl
+++ b/tests/t8000-valgrind-zip.pl
@@ -5,6 +5,8 @@ use strict;
 use lib ($0 =~ m|^(.*/)| ? $1 : ".");
 use LibGsfTest;
 
+exit 77; # Skip test, bug #840353
+
 my $archive = "test.zip";
 &LibGsfTest::junkfile ($archive);
 
diff --git a/tests/t8020-valgrind-ole.pl b/tests/t8020-valgrind-ole.pl
index d6df5d7..b8200e9 100755
--- a/tests/t8020-valgrind-ole.pl
+++ b/tests/t8020-valgrind-ole.pl
@@ -5,6 +5,8 @@ use strict;
 use lib ($0 =~ m|^(.*/)| ? $1 : ".");
 use LibGsfTest;
 
+exit 77; # Skip test, bug #840353
+
 my $archive = "test.ole";
 &LibGsfTest::junkfile ($archive);
 
--