diff --git a/selftests/functional/test_basic.py b/selftests/functional/test_basic.py
index 28ef8ae57c40a2391ee6388dd63c3403b0c4f0bb..60bdf6723bb1749d4dd348013e88290e0cc1c354 100644
--- a/selftests/functional/test_basic.py
+++ b/selftests/functional/test_basic.py
@@ -481,6 +481,9 @@ class RunnerOperationTest(unittest.TestCase):
         int(r['job_id'], 16)  # it's an hex number
         self.assertEqual(len(r['job_id']), 40)
 
+    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 2,
+                     "Skipping test that take a long time to run, are "
+                     "resource intensive or time sensitve")
     def test_early_latest_result(self):
         """
         Tests that the `latest` link to the latest job results is created early
@@ -795,7 +798,7 @@ class RunnerSimpleTest(unittest.TestCase):
                          (expected_rc, result))
 
     @unittest.skipIf(not SLEEP_BINARY, 'sleep binary not available')
-    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 1,
+    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 2,
                      "Skipping test that take a long time to run, are "
                      "resource intensive or time sensitve")
     def test_kill_stopped_sleep(self):
diff --git a/selftests/functional/test_interrupt.py b/selftests/functional/test_interrupt.py
index 3256924ee51f636d5900245a63c691a3c040ec8b..8255887286d1b4b0ef5be1c6d79f81f2adfa690e 100644
--- a/selftests/functional/test_interrupt.py
+++ b/selftests/functional/test_interrupt.py
@@ -193,7 +193,7 @@ class InterruptTest(unittest.TestCase):
         # Make sure the Interrupted test sentence is there
         self.assertIn(b'Terminated\n', self.proc.stdout.read())
 
-    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 1,
+    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 2,
                      "Skipping test that take a long time to run, are "
                      "resource intensive or time sensitve")
     def test_well_behaved_sigint(self):
@@ -237,7 +237,7 @@ class InterruptTest(unittest.TestCase):
         # Make sure the Killing test subprocess message is not there
         self.assertNotIn(b'Killing test subprocess', output)
 
-    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 1,
+    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 2,
                      "Skipping test that take a long time to run, are "
                      "resource intensive or time sensitve")
     def test_well_behaved_sigterm(self):
diff --git a/selftests/functional/test_loader.py b/selftests/functional/test_loader.py
index 1bc90d74c8d12913b6c4ad5d4413d016b8dc5461..4e834d7581642cdc271ccffca77cc21fa258d9a2 100644
--- a/selftests/functional/test_loader.py
+++ b/selftests/functional/test_loader.py
@@ -191,7 +191,7 @@ class LoaderTestFunctional(unittest.TestCase):
     def test_not_python_module(self):
         self._test('passtest', AVOCADO_TEST_OK, 'NOT_A_TEST')
 
-    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 1,
+    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 2,
                      "Skipping test that take a long time to run, are "
                      "resource intensive or time sensitve")
     def test_sleep_a_lot(self):
@@ -253,7 +253,7 @@ class LoaderTestFunctional(unittest.TestCase):
                     % (AVOCADO, self.tmpdir, mytest))
         self._run_with_timeout(cmd_line, 5)
 
-    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 1,
+    @unittest.skipIf(int(os.environ.get("AVOCADO_CHECK_LEVEL", 0)) < 2,
                      "Skipping test that take a long time to run, are "
                      "resource intensive or time sensitve")
     def test_simple_using_main(self):