Backported r54226 from p3yk: Move test_unittest, test_doctest and test_doctest2 higher up in the testing order.
diff --git a/Lib/test/regrtest.py b/Lib/test/regrtest.py
index 4553838..f424f7b 100755
--- a/Lib/test/regrtest.py
+++ b/Lib/test/regrtest.py
@@ -474,6 +474,9 @@
     'test_builtin',
     'test_exceptions',
     'test_types',
+    'test_unittest',
+    'test_doctest',
+    'test_doctest2',
    ]
 
 NOTTESTS = [