diff --git dummyserver/handlers.py dummyserver/handlers.py
index 72faa1a..ea15a1e 100644
--- dummyserver/handlers.py
+++ dummyserver/handlers.py
@@ -211,7 +211,7 @@ def _parse_header(line):
     """
     import tornado.httputil
     import email.utils
-    from urllib3.packages import six
+    import six
     if not six.PY3:
         line = line.encode('utf-8')
     parts = tornado.httputil._parseparam(';' + line)
diff --git setup.py setup.py
index f638377..5e6fff1 100644
--- setup.py
+++ setup.py
@@ -42,7 +42,6 @@ setup(name='urllib3',
       url='http://urllib3.readthedocs.org/',
       license='MIT',
       packages=['urllib3',
-                'urllib3.packages', 'urllib3.packages.ssl_match_hostname',
                 'urllib3.contrib', 'urllib3.util',
                 ],
       requires=[],
diff --git test/__init__.py test/__init__.py
index d56a4d3..85db6c4 100644
--- test/__init__.py
+++ test/__init__.py
@@ -7,7 +7,7 @@ import socket
 from nose.plugins.skip import SkipTest
 
 from urllib3.exceptions import MaxRetryError, HTTPWarning
-from urllib3.packages import six
+import six
 
 # We need a host that will not immediately close the connection with a TCP
 # Reset. SO suggests this hostname
diff --git test/contrib/test_pyopenssl.py test/contrib/test_pyopenssl.py
index 5d57527..f23ff19 100644
--- test/contrib/test_pyopenssl.py
+++ test/contrib/test_pyopenssl.py
@@ -1,5 +1,5 @@
 from nose.plugins.skip import SkipTest
-from urllib3.packages import six
+import six
 
 if six.PY3:
     raise SkipTest('Testing of PyOpenSSL disabled on PY3')
diff --git test/test_collections.py test/test_collections.py
index 4d173ac..c5420f7 100644
--- test/test_collections.py
+++ test/test_collections.py
@@ -4,7 +4,7 @@ from urllib3._collections import (
     HTTPHeaderDict,
     RecentlyUsedContainer as Container
 )
-from urllib3.packages import six
+import six
 xrange = six.moves.xrange
 
 
diff --git test/test_connectionpool.py test/test_connectionpool.py
index a6dbcf4..43f9cbd 100644
--- test/test_connectionpool.py
+++ test/test_connectionpool.py
@@ -6,7 +6,7 @@ from urllib3.connectionpool import (
     HTTPConnectionPool,
 )
 from urllib3.util.timeout import Timeout
-from urllib3.packages.ssl_match_hostname import CertificateError
+from ssl import CertificateError
 from urllib3.exceptions import (
     ClosedPoolError,
     EmptyPoolError,
diff --git test/test_fields.py test/test_fields.py
index cdec68b..66da148 100644
--- test/test_fields.py
+++ test/test_fields.py
@@ -1,7 +1,7 @@
 import unittest
 
 from urllib3.fields import guess_content_type, RequestField
-from urllib3.packages.six import u
+from six import u
 
 
 class TestRequestField(unittest.TestCase):
diff --git test/test_filepost.py test/test_filepost.py
index 390dbb3..ecc6710 100644
--- test/test_filepost.py
+++ test/test_filepost.py
@@ -2,7 +2,7 @@ import unittest
 
 from urllib3.filepost import encode_multipart_formdata, iter_fields
 from urllib3.fields import RequestField
-from urllib3.packages.six import b, u
+from six import b, u
 
 
 BOUNDARY = '!! test boundary !!'
diff --git test/test_retry.py test/test_retry.py
index 421e508..8fcc287 100644
--- test/test_retry.py
+++ test/test_retry.py
@@ -1,7 +1,7 @@
 import unittest
 
 from urllib3.response import HTTPResponse
-from urllib3.packages.six.moves import xrange
+from six.moves import xrange
 from urllib3.util.retry import Retry
 from urllib3.exceptions import (
     ConnectTimeoutError,
diff --git test/with_dummyserver/test_connectionpool.py test/with_dummyserver/test_connectionpool.py
index cc0f011..85ede60 100644
--- test/with_dummyserver/test_connectionpool.py
+++ test/with_dummyserver/test_connectionpool.py
@@ -29,7 +29,7 @@ from urllib3.exceptions import (
     ReadTimeoutError,
     ProtocolError,
 )
-from urllib3.packages.six import b, u
+from six import b, u
 from urllib3.util.retry import Retry
 from urllib3.util.timeout import Timeout
 
diff --git urllib3/_collections.py urllib3/_collections.py
index 784342a..51eb302 100644
--- urllib3/_collections.py
+++ urllib3/_collections.py
@@ -10,11 +10,8 @@ except ImportError: # Platform-specific: No threads available
             pass
 
 
-try: # Python 2.7+
-    from collections import OrderedDict
-except ImportError:
-    from .packages.ordered_dict import OrderedDict
-from .packages.six import iterkeys, itervalues
+from collections import OrderedDict
+from six import iterkeys, itervalues
 
 
 __all__ = ['RecentlyUsedContainer', 'HTTPHeaderDict']
diff --git urllib3/connection.py urllib3/connection.py
index e5de769..44e8c1d 100644
--- urllib3/connection.py
+++ urllib3/connection.py
@@ -3,7 +3,7 @@ import sys
 import socket
 from socket import timeout as SocketTimeout
 import warnings
-from .packages import six
+import six
 
 try:  # Python 3
     from http.client import HTTPConnection as _HTTPConnection, HTTPException
@@ -40,7 +40,7 @@ from .exceptions import (
     SystemTimeWarning,
     SecurityWarning,
 )
-from .packages.ssl_match_hostname import match_hostname
+from ssl import match_hostname
 
 from .util.ssl_ import (
     resolve_cert_reqs,
diff --git urllib3/connectionpool.py urllib3/connectionpool.py
index 8bdf228..dfdac97 100644
--- urllib3/connectionpool.py
+++ urllib3/connectionpool.py
@@ -26,8 +26,8 @@ from .exceptions import (
     TimeoutError,
     InsecureRequestWarning,
 )
-from .packages.ssl_match_hostname import CertificateError
-from .packages import six
+from ssl import CertificateError
+import six
 from .connection import (
     port_by_scheme,
     DummyConnection,
diff --git urllib3/fields.py urllib3/fields.py
index c853f8d..5fe3c24 100644
--- urllib3/fields.py
+++ urllib3/fields.py
@@ -1,7 +1,7 @@
 import email.utils
 import mimetypes
 
-from .packages import six
+import six
 
 
 def guess_content_type(filename, default='application/octet-stream'):
diff --git urllib3/filepost.py urllib3/filepost.py
index 0fbf488..97ab970 100644
--- urllib3/filepost.py
+++ urllib3/filepost.py
@@ -3,8 +3,8 @@ import codecs
 from uuid import uuid4
 from io import BytesIO
 
-from .packages import six
-from .packages.six import b
+import six
+from six import b
 from .fields import RequestField
 
 writer = codecs.lookup('utf-8')[3]
diff --git urllib3/response.py urllib3/response.py
index e69de95..f432ddd 100644
--- urllib3/response.py
+++ urllib3/response.py
@@ -4,7 +4,7 @@ from socket import timeout as SocketTimeout
 
 from ._collections import HTTPHeaderDict
 from .exceptions import ProtocolError, DecodeError, ReadTimeoutError
-from .packages.six import string_types as basestring, binary_type
+from six import string_types as basestring, binary_type
 from .connection import HTTPException, BaseSSLError
 from .util.response import is_fp_closed
 
diff --git urllib3/util/request.py urllib3/util/request.py
index bc64f6b..5f4ccfd 100644
--- urllib3/util/request.py
+++ urllib3/util/request.py
@@ -1,6 +1,6 @@
 from base64 import b64encode
 
-from ..packages.six import b
+from six import b
 
 ACCEPT_ENCODING = 'gzip,deflate'
 
diff --git urllib3/util/retry.py urllib3/util/retry.py
index 7e0959d..4dfdb32 100644
--- urllib3/util/retry.py
+++ urllib3/util/retry.py
@@ -8,7 +8,7 @@ from ..exceptions import (
     ReadTimeoutError,
     ResponseError,
 )
-from ..packages import six
+import six
 
 
 log = logging.getLogger(__name__)