diff --git a/.travis/install.sh b/.travis/install.sh
index 4aa3979..fdd7190 100755
--- a/.travis/install.sh
+++ b/.travis/install.sh
@@ -5,8 +5,24 @@
 
 if [[ "${OPENSSL}" == "0.9.8" ]]; then
     sudo add-apt-repository "deb http://archive.ubuntu.com/ubuntu/ lucid main"
-    sudo apt-get -y update
+fi
+
+if [[ "${TOX_ENV}" == "pypy" ]]; then
+    sudo add-apt-repository -y ppa:pypy/ppa
+fi
+
+sudo apt-get -y update
+
+if [[ "${OPENSSL}" == "0.9.8" ]]; then
     sudo apt-get install -y --force-yes libssl-dev/lucid
 fi
 
+if [[ "${TOX_ENV}" == "pypy" ]]; then
+    sudo apt-get install -y pypy
+
+    # This is required because we need to get rid of the Travis installed PyPy
+    # or it'll take precedence over the PPA installed one.
+    sudo rm -rf /usr/local/pypy/bin
+fi
+
 pip install tox coveralls
diff --git a/cryptography/hazmat/backends/openssl/backend.py b/cryptography/hazmat/backends/openssl/backend.py
index a295d31..4906646 100644
--- a/cryptography/hazmat/backends/openssl/backend.py
+++ b/cryptography/hazmat/backends/openssl/backend.py
@@ -40,11 +40,11 @@
 
     def __init__(self):
         self._binding = Binding()
-        self.ffi = self._binding.ffi
-        self.lib = self._binding.lib
+        self._ffi = self._binding.ffi
+        self._lib = self._binding.lib
 
-        self.lib.OpenSSL_add_all_algorithms()
-        self.lib.SSL_load_error_strings()
+        self._lib.OpenSSL_add_all_algorithms()
+        self._lib.SSL_load_error_strings()
 
         self._cipher_registry = {}
         self._register_default_ciphers()
@@ -55,14 +55,14 @@
 
         Example: OpenSSL 1.0.1e 11 Feb 2013
         """
-        return self.ffi.string(self.lib.OPENSSL_VERSION_TEXT).decode("ascii")
+        return self._ffi.string(self._lib.OPENSSL_VERSION_TEXT).decode("ascii")
 
     def create_hmac_ctx(self, key, algorithm):
         return _HMACContext(self, key, algorithm)
 
     def hash_supported(self, algorithm):
-        digest = self.lib.EVP_get_digestbyname(algorithm.name.encode("ascii"))
-        return digest != self.ffi.NULL
+        digest = self._lib.EVP_get_digestbyname(algorithm.name.encode("ascii"))
+        return digest != self._ffi.NULL
 
     def hmac_supported(self, algorithm):
         return self.hash_supported(algorithm)
@@ -76,7 +76,7 @@
         except KeyError:
             return False
         evp_cipher = adapter(self, cipher, mode)
-        return self.ffi.NULL != evp_cipher
+        return self._ffi.NULL != evp_cipher
 
     def register_cipher_adapter(self, cipher_cls, mode_cls, adapter):
         if (cipher_cls, mode_cls) in self._cipher_registry:
@@ -130,25 +130,25 @@
         return _CipherContext(self, cipher, mode, _CipherContext._DECRYPT)
 
     def _handle_error(self, mode):
-        code = self.lib.ERR_get_error()
+        code = self._lib.ERR_get_error()
         if not code and isinstance(mode, GCM):
             raise InvalidTag
         assert code != 0
-        lib = self.lib.ERR_GET_LIB(code)
-        func = self.lib.ERR_GET_FUNC(code)
-        reason = self.lib.ERR_GET_REASON(code)
+        lib = self._lib.ERR_GET_LIB(code)
+        func = self._lib.ERR_GET_FUNC(code)
+        reason = self._lib.ERR_GET_REASON(code)
         return self._handle_error_code(lib, func, reason)
 
     def _handle_error_code(self, lib, func, reason):
-        if lib == self.lib.ERR_LIB_EVP:
-            if func == self.lib.EVP_F_EVP_ENCRYPTFINAL_EX:
-                if reason == self.lib.EVP_R_DATA_NOT_MULTIPLE_OF_BLOCK_LENGTH:
+        if lib == self._lib.ERR_LIB_EVP:
+            if func == self._lib.EVP_F_EVP_ENCRYPTFINAL_EX:
+                if reason == self._lib.EVP_R_DATA_NOT_MULTIPLE_OF_BLOCK_LENGTH:
                     raise ValueError(
                         "The length of the provided data is not a multiple of "
                         "the block length"
                     )
-            elif func == self.lib.EVP_F_EVP_DECRYPTFINAL_EX:
-                if reason == self.lib.EVP_R_DATA_NOT_MULTIPLE_OF_BLOCK_LENGTH:
+            elif func == self._lib.EVP_F_EVP_DECRYPTFINAL_EX:
+                if reason == self._lib.EVP_R_DATA_NOT_MULTIPLE_OF_BLOCK_LENGTH:
                     raise ValueError(
                         "The length of the provided data is not a multiple of "
                         "the block length"
@@ -165,7 +165,7 @@
 
     def __call__(self, backend, cipher, mode):
         cipher_name = self._fmt.format(cipher=cipher, mode=mode).lower()
-        return backend.lib.EVP_get_cipherbyname(cipher_name.encode("ascii"))
+        return backend._lib.EVP_get_cipherbyname(cipher_name.encode("ascii"))
 
 
 @utils.register_interface(interfaces.CipherContext)
@@ -187,8 +187,10 @@
         else:
             self._block_size = 1
 
-        ctx = self._backend.lib.EVP_CIPHER_CTX_new()
-        ctx = self._backend.ffi.gc(ctx, self._backend.lib.EVP_CIPHER_CTX_free)
+        ctx = self._backend._lib.EVP_CIPHER_CTX_new()
+        ctx = self._backend._ffi.gc(
+            ctx, self._backend._lib.EVP_CIPHER_CTX_free
+        )
 
         registry = self._backend._cipher_registry
         try:
@@ -201,7 +203,7 @@
             )
 
         evp_cipher = adapter(self._backend, cipher, mode)
-        if evp_cipher == self._backend.ffi.NULL:
+        if evp_cipher == self._backend._ffi.NULL:
             raise UnsupportedAlgorithm(
                 "cipher {0} in {1} mode is not supported "
                 "by this backend".format(
@@ -213,79 +215,84 @@
         elif isinstance(mode, interfaces.ModeWithNonce):
             iv_nonce = mode.nonce
         else:
-            iv_nonce = self._backend.ffi.NULL
+            iv_nonce = self._backend._ffi.NULL
         # begin init with cipher and operation type
-        res = self._backend.lib.EVP_CipherInit_ex(ctx, evp_cipher,
-                                                  self._backend.ffi.NULL,
-                                                  self._backend.ffi.NULL,
-                                                  self._backend.ffi.NULL,
-                                                  operation)
+        res = self._backend._lib.EVP_CipherInit_ex(ctx, evp_cipher,
+                                                   self._backend._ffi.NULL,
+                                                   self._backend._ffi.NULL,
+                                                   self._backend._ffi.NULL,
+                                                   operation)
         assert res != 0
         # set the key length to handle variable key ciphers
-        res = self._backend.lib.EVP_CIPHER_CTX_set_key_length(
+        res = self._backend._lib.EVP_CIPHER_CTX_set_key_length(
             ctx, len(cipher.key)
         )
         assert res != 0
         if isinstance(mode, GCM):
-            res = self._backend.lib.EVP_CIPHER_CTX_ctrl(
-                ctx, self._backend.lib.EVP_CTRL_GCM_SET_IVLEN,
-                len(iv_nonce), self._backend.ffi.NULL
+            res = self._backend._lib.EVP_CIPHER_CTX_ctrl(
+                ctx, self._backend._lib.EVP_CTRL_GCM_SET_IVLEN,
+                len(iv_nonce), self._backend._ffi.NULL
             )
             assert res != 0
             if operation == self._DECRYPT:
-                res = self._backend.lib.EVP_CIPHER_CTX_ctrl(
-                    ctx, self._backend.lib.EVP_CTRL_GCM_SET_TAG,
+                res = self._backend._lib.EVP_CIPHER_CTX_ctrl(
+                    ctx, self._backend._lib.EVP_CTRL_GCM_SET_TAG,
                     len(mode.tag), mode.tag
                 )
                 assert res != 0
 
         # pass key/iv
-        res = self._backend.lib.EVP_CipherInit_ex(ctx, self._backend.ffi.NULL,
-                                                  self._backend.ffi.NULL,
-                                                  cipher.key,
-                                                  iv_nonce,
-                                                  operation)
+        res = self._backend._lib.EVP_CipherInit_ex(
+            ctx,
+            self._backend._ffi.NULL,
+            self._backend._ffi.NULL,
+            cipher.key,
+            iv_nonce,
+            operation
+        )
         assert res != 0
         # We purposely disable padding here as it's handled higher up in the
         # API.
-        self._backend.lib.EVP_CIPHER_CTX_set_padding(ctx, 0)
+        self._backend._lib.EVP_CIPHER_CTX_set_padding(ctx, 0)
         self._ctx = ctx
 
     def update(self, data):
-        buf = self._backend.ffi.new("unsigned char[]",
-                                    len(data) + self._block_size - 1)
-        outlen = self._backend.ffi.new("int *")
-        res = self._backend.lib.EVP_CipherUpdate(self._ctx, buf, outlen, data,
-                                                 len(data))
+        buf = self._backend._ffi.new("unsigned char[]",
+                                     len(data) + self._block_size - 1)
+        outlen = self._backend._ffi.new("int *")
+        res = self._backend._lib.EVP_CipherUpdate(self._ctx, buf, outlen, data,
+                                                  len(data))
         assert res != 0
-        return self._backend.ffi.buffer(buf)[:outlen[0]]
+        return self._backend._ffi.buffer(buf)[:outlen[0]]
 
     def finalize(self):
-        buf = self._backend.ffi.new("unsigned char[]", self._block_size)
-        outlen = self._backend.ffi.new("int *")
-        res = self._backend.lib.EVP_CipherFinal_ex(self._ctx, buf, outlen)
+        buf = self._backend._ffi.new("unsigned char[]", self._block_size)
+        outlen = self._backend._ffi.new("int *")
+        res = self._backend._lib.EVP_CipherFinal_ex(self._ctx, buf, outlen)
         if res == 0:
             self._backend._handle_error(self._mode)
 
         if (isinstance(self._mode, GCM) and
            self._operation == self._ENCRYPT):
             block_byte_size = self._block_size // 8
-            tag_buf = self._backend.ffi.new("unsigned char[]", block_byte_size)
-            res = self._backend.lib.EVP_CIPHER_CTX_ctrl(
-                self._ctx, self._backend.lib.EVP_CTRL_GCM_GET_TAG,
+            tag_buf = self._backend._ffi.new(
+                "unsigned char[]", block_byte_size
+            )
+            res = self._backend._lib.EVP_CIPHER_CTX_ctrl(
+                self._ctx, self._backend._lib.EVP_CTRL_GCM_GET_TAG,
                 block_byte_size, tag_buf
             )
             assert res != 0
-            self._tag = self._backend.ffi.buffer(tag_buf)[:]
+            self._tag = self._backend._ffi.buffer(tag_buf)[:]
 
-        res = self._backend.lib.EVP_CIPHER_CTX_cleanup(self._ctx)
+        res = self._backend._lib.EVP_CIPHER_CTX_cleanup(self._ctx)
         assert res == 1
-        return self._backend.ffi.buffer(buf)[:outlen[0]]
+        return self._backend._ffi.buffer(buf)[:outlen[0]]
 
     def authenticate_additional_data(self, data):
-        outlen = self._backend.ffi.new("int *")
-        res = self._backend.lib.EVP_CipherUpdate(
-            self._ctx, self._backend.ffi.NULL, outlen, data, len(data)
+        outlen = self._backend._ffi.new("int *")
+        res = self._backend._lib.EVP_CipherUpdate(
+            self._ctx, self._backend._ffi.NULL, outlen, data, len(data)
         )
         assert res != 0
 
@@ -302,43 +309,44 @@
         self._backend = backend
 
         if ctx is None:
-            ctx = self._backend.lib.EVP_MD_CTX_create()
-            ctx = self._backend.ffi.gc(ctx,
-                                       self._backend.lib.EVP_MD_CTX_destroy)
-            evp_md = self._backend.lib.EVP_get_digestbyname(
+            ctx = self._backend._lib.EVP_MD_CTX_create()
+            ctx = self._backend._ffi.gc(ctx,
+                                        self._backend._lib.EVP_MD_CTX_destroy)
+            evp_md = self._backend._lib.EVP_get_digestbyname(
                 algorithm.name.encode("ascii"))
-            if evp_md == self._backend.ffi.NULL:
+            if evp_md == self._backend._ffi.NULL:
                 raise UnsupportedAlgorithm(
                     "{0} is not a supported hash on this backend".format(
                         algorithm.name)
                 )
-            res = self._backend.lib.EVP_DigestInit_ex(ctx, evp_md,
-                                                      self._backend.ffi.NULL)
+            res = self._backend._lib.EVP_DigestInit_ex(ctx, evp_md,
+                                                       self._backend._ffi.NULL)
             assert res != 0
 
         self._ctx = ctx
 
     def copy(self):
-        copied_ctx = self._backend.lib.EVP_MD_CTX_create()
-        copied_ctx = self._backend.ffi.gc(copied_ctx,
-                                          self._backend.lib.EVP_MD_CTX_destroy)
-        res = self._backend.lib.EVP_MD_CTX_copy_ex(copied_ctx, self._ctx)
+        copied_ctx = self._backend._lib.EVP_MD_CTX_create()
+        copied_ctx = self._backend._ffi.gc(
+            copied_ctx, self._backend._lib.EVP_MD_CTX_destroy
+        )
+        res = self._backend._lib.EVP_MD_CTX_copy_ex(copied_ctx, self._ctx)
         assert res != 0
         return _HashContext(self._backend, self.algorithm, ctx=copied_ctx)
 
     def update(self, data):
-        res = self._backend.lib.EVP_DigestUpdate(self._ctx, data, len(data))
+        res = self._backend._lib.EVP_DigestUpdate(self._ctx, data, len(data))
         assert res != 0
 
     def finalize(self):
-        buf = self._backend.ffi.new("unsigned char[]",
-                                    self.algorithm.digest_size)
-        res = self._backend.lib.EVP_DigestFinal_ex(self._ctx, buf,
-                                                   self._backend.ffi.NULL)
+        buf = self._backend._ffi.new("unsigned char[]",
+                                     self.algorithm.digest_size)
+        res = self._backend._lib.EVP_DigestFinal_ex(self._ctx, buf,
+                                                    self._backend._ffi.NULL)
         assert res != 0
-        res = self._backend.lib.EVP_MD_CTX_cleanup(self._ctx)
+        res = self._backend._lib.EVP_MD_CTX_cleanup(self._ctx)
         assert res == 1
-        return self._backend.ffi.buffer(buf)[:]
+        return self._backend._ffi.buffer(buf)[:]
 
 
 @utils.register_interface(interfaces.HashContext)
@@ -348,18 +356,20 @@
         self._backend = backend
 
         if ctx is None:
-            ctx = self._backend.ffi.new("HMAC_CTX *")
-            self._backend.lib.HMAC_CTX_init(ctx)
-            ctx = self._backend.ffi.gc(ctx, self._backend.lib.HMAC_CTX_cleanup)
-            evp_md = self._backend.lib.EVP_get_digestbyname(
+            ctx = self._backend._ffi.new("HMAC_CTX *")
+            self._backend._lib.HMAC_CTX_init(ctx)
+            ctx = self._backend._ffi.gc(
+                ctx, self._backend._lib.HMAC_CTX_cleanup
+            )
+            evp_md = self._backend._lib.EVP_get_digestbyname(
                 algorithm.name.encode('ascii'))
-            if evp_md == self._backend.ffi.NULL:
+            if evp_md == self._backend._ffi.NULL:
                 raise UnsupportedAlgorithm(
                     "{0} is not a supported hash on this backend".format(
                         algorithm.name)
                 )
-            res = self._backend.lib.Cryptography_HMAC_Init_ex(
-                ctx, key, len(key), evp_md, self._backend.ffi.NULL
+            res = self._backend._lib.Cryptography_HMAC_Init_ex(
+                ctx, key, len(key), evp_md, self._backend._ffi.NULL
             )
             assert res != 0
 
@@ -367,12 +377,12 @@
         self._key = key
 
     def copy(self):
-        copied_ctx = self._backend.ffi.new("HMAC_CTX *")
-        self._backend.lib.HMAC_CTX_init(copied_ctx)
-        copied_ctx = self._backend.ffi.gc(
-            copied_ctx, self._backend.lib.HMAC_CTX_cleanup
+        copied_ctx = self._backend._ffi.new("HMAC_CTX *")
+        self._backend._lib.HMAC_CTX_init(copied_ctx)
+        copied_ctx = self._backend._ffi.gc(
+            copied_ctx, self._backend._lib.HMAC_CTX_cleanup
         )
-        res = self._backend.lib.Cryptography_HMAC_CTX_copy(
+        res = self._backend._lib.Cryptography_HMAC_CTX_copy(
             copied_ctx, self._ctx
         )
         assert res != 0
@@ -381,20 +391,22 @@
         )
 
     def update(self, data):
-        res = self._backend.lib.Cryptography_HMAC_Update(
+        res = self._backend._lib.Cryptography_HMAC_Update(
             self._ctx, data, len(data)
         )
         assert res != 0
 
     def finalize(self):
-        buf = self._backend.ffi.new("unsigned char[]",
-                                    self.algorithm.digest_size)
-        buflen = self._backend.ffi.new("unsigned int *",
-                                       self.algorithm.digest_size)
-        res = self._backend.lib.Cryptography_HMAC_Final(self._ctx, buf, buflen)
+        buf = self._backend._ffi.new("unsigned char[]",
+                                     self.algorithm.digest_size)
+        buflen = self._backend._ffi.new("unsigned int *",
+                                        self.algorithm.digest_size)
+        res = self._backend._lib.Cryptography_HMAC_Final(
+            self._ctx, buf, buflen
+        )
         assert res != 0
-        self._backend.lib.HMAC_CTX_cleanup(self._ctx)
-        return self._backend.ffi.buffer(buf)[:]
+        self._backend._lib.HMAC_CTX_cleanup(self._ctx)
+        return self._backend._ffi.buffer(buf)[:]
 
 
 backend = Backend()
diff --git a/tests/hazmat/backends/test_openssl.py b/tests/hazmat/backends/test_openssl.py
index 543a05f..22cfbe7 100644
--- a/tests/hazmat/backends/test_openssl.py
+++ b/tests/hazmat/backends/test_openssl.py
@@ -58,18 +58,13 @@
         with pytest.raises(ValueError):
             backend.register_cipher_adapter(AES, CBC, None)
 
-    def test_instances_share_ffi(self):
-        b = Backend()
-        assert b.ffi is backend.ffi
-        assert b.lib is backend.lib
-
     @pytest.mark.parametrize("mode", [DummyMode(), None])
     def test_nonexistent_cipher(self, mode):
         b = Backend()
         b.register_cipher_adapter(
             DummyCipher,
             type(mode),
-            lambda backend, cipher, mode: backend.ffi.NULL
+            lambda backend, cipher, mode: backend._ffi.NULL
         )
         cipher = Cipher(
             DummyCipher(), mode, backend=b,
@@ -82,18 +77,18 @@
             backend._handle_error_code(0, 0, 0)
 
         with pytest.raises(SystemError):
-            backend._handle_error_code(backend.lib.ERR_LIB_EVP, 0, 0)
+            backend._handle_error_code(backend._lib.ERR_LIB_EVP, 0, 0)
 
         with pytest.raises(SystemError):
             backend._handle_error_code(
-                backend.lib.ERR_LIB_EVP,
-                backend.lib.EVP_F_EVP_ENCRYPTFINAL_EX,
+                backend._lib.ERR_LIB_EVP,
+                backend._lib.EVP_F_EVP_ENCRYPTFINAL_EX,
                 0
             )
 
         with pytest.raises(SystemError):
             backend._handle_error_code(
-                backend.lib.ERR_LIB_EVP,
-                backend.lib.EVP_F_EVP_DECRYPTFINAL_EX,
+                backend._lib.ERR_LIB_EVP,
+                backend._lib.EVP_F_EVP_DECRYPTFINAL_EX,
                 0
             )