Does setUp method from unittest.TestCase knows the next test case?

Does the setUp method from the unittest.TestCase knows what is the next test case that will be executed? For example:

import unittest

class Tests(unittest.TestCase):
    def setUp(self):
        print "The next test will be: " + self.next_test_name()

    def test_01(self):
        pass

    def test_02(self):
        pass

if __name__ == '__main__':
    unittest.main()

Such code should produce upon execution:

The next test will be: test_01
The next test will be: test_02