diff --git a/src/flake8/options/config.py b/src/flake8/options/config.py
index 1d18c2e..ec5023b 100644
--- a/src/flake8/options/config.py
+++ b/src/flake8/options/config.py
@@ -41,9 +41,7 @@ class ConfigFileFinder(object):
         self.program_name = program_name
 
         # List of filenames to find in the local/project directory
-        self.project_filenames = (
-            self.program_config,
-        ) + self.PROJECT_FILENAMES
+        self.project_filenames = ('setup.cfg', 'tox.ini', self.program_config)
 
         self.local_directory = os.path.abspath(os.curdir)
 
diff --git a/tests/unit/test_config_file_finder.py b/tests/unit/test_config_file_finder.py
index 56ff804..2e1a1e5 100644
--- a/tests/unit/test_config_file_finder.py
+++ b/tests/unit/test_config_file_finder.py
@@ -42,28 +42,28 @@ def test_cli_config():
 @pytest.mark.parametrize('args,expected', [
     # No arguments, common prefix of abspath('.')
     ([],
-        [os.path.abspath('.flake8'),
-            os.path.abspath('setup.cfg'),
-            os.path.abspath('tox.ini')]),
+        [os.path.abspath('setup.cfg'),
+            os.path.abspath('tox.ini'),
+            os.path.abspath('.flake8')]),
     # Common prefix of "flake8/"
     (['flake8/options', 'flake8/'],
-        [os.path.abspath('flake8/.flake8'),
-            os.path.abspath('flake8/setup.cfg'),
+        [os.path.abspath('flake8/setup.cfg'),
             os.path.abspath('flake8/tox.ini'),
-            os.path.abspath('.flake8'),
+            os.path.abspath('flake8/.flake8'),
             os.path.abspath('setup.cfg'),
-            os.path.abspath('tox.ini')]),
+            os.path.abspath('tox.ini'),
+            os.path.abspath('.flake8')]),
     # Common prefix of "flake8/options"
     (['flake8/options', 'flake8/options/sub'],
-        [os.path.abspath('flake8/options/.flake8'),
-            os.path.abspath('flake8/options/setup.cfg'),
+        [os.path.abspath('flake8/options/setup.cfg'),
             os.path.abspath('flake8/options/tox.ini'),
-            os.path.abspath('flake8/.flake8'),
+            os.path.abspath('flake8/options/.flake8'),
             os.path.abspath('flake8/setup.cfg'),
             os.path.abspath('flake8/tox.ini'),
-            os.path.abspath('.flake8'),
+            os.path.abspath('flake8/.flake8'),
             os.path.abspath('setup.cfg'),
-            os.path.abspath('tox.ini')]),
+            os.path.abspath('tox.ini'),
+            os.path.abspath('.flake8')]),
 ])
 def test_generate_possible_local_files(args, expected):
     """Verify generation of all possible config paths."""