diff --git a/tests/test_fast_executemany.py b/tests/test_fast_executemany.py
index 6c690479..ad7a5b12 100755
--- a/tests/test_fast_executemany.py
+++ b/tests/test_fast_executemany.py
@@ -96,6 +96,7 @@ class TestExecuteBatch(FastExecuteTestMixin, testutils.ConnectingTestCase):
         cur.execute("select id, val from testfast order by id")
         self.assertEqual(cur.fetchall(), [(i, i * 10) for i in range(25)])
 
+    @testutils.skip_before_postgres(8, 0)
     def test_unicode(self):
         cur = self.conn.cursor()
         ext.register_type(ext.UNICODE, cur)
diff --git a/tests/test_quote.py b/tests/test_quote.py
index 22d896aa..1ced845c 100755
--- a/tests/test_quote.py
+++ b/tests/test_quote.py
@@ -185,6 +185,7 @@ class TestQuotedIdentifier(ConnectingTestCase):
         self.assertEqual(quote_ident('blah-blah', self.conn), '"blah-blah"')
         self.assertEqual(quote_ident('quote"inside', self.conn), '"quote""inside"')
 
+    @testutils.skip_before_postgres(8, 0)
     @testutils.skip_before_libpq(9, 0)
     def test_unicode_ident(self):
         from psycopg2.extensions import quote_ident