diff --git a/CHANGES.rst b/CHANGES.rst
index e88b89e740..59331cc7fd 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -6,6 +6,9 @@ dev (master)
 
 * ... [Short description of non-trivial change.] (Issue #)
 
+* Add a server_hostname parameter to HTTPSConnection which allows for
+  overriding the SNI hostname sent in the handshake. (Pull #1397)
+
 
 1.23 (2018-06-05)
 -----------------
diff --git a/test/with_dummyserver/test_https.py b/test/with_dummyserver/test_https.py
index 1813c4d46c..f6a3a43ccb 100644
--- a/test/with_dummyserver/test_https.py
+++ b/test/with_dummyserver/test_https.py
@@ -323,6 +323,23 @@ def test_assert_specific_hostname(self):
         https_pool.assert_hostname = 'localhost'
         https_pool.request('GET', '/')
 
+    def test_server_hostname(self):
+        https_pool = HTTPSConnectionPool('127.0.0.1', self.port,
+                                         cert_reqs='CERT_REQUIRED',
+                                         ca_certs=DEFAULT_CA,
+                                         server_hostname='localhost')
+        self.addCleanup(https_pool.close)
+
+        conn = https_pool._new_conn()
+        conn.request('GET', '/')
+
+        # Assert the wrapping socket is using the passed-through SNI name.
+        # pyopenssl doesn't let you pull the server_hostname back off the
+        # socket, so only add this assertion if the attribute is there (i.e.
+        # the python ssl module).
+        if hasattr(conn.sock, 'server_hostname'):
+            self.assertEqual(conn.sock.server_hostname, "localhost")
+
     def test_assert_fingerprint_md5(self):
         https_pool = HTTPSConnectionPool('localhost', self.port,
                                          cert_reqs='CERT_REQUIRED',
diff --git a/urllib3/connection.py b/urllib3/connection.py
index a03b573f01..4f662b0d68 100644
--- a/urllib3/connection.py
+++ b/urllib3/connection.py
@@ -242,7 +242,7 @@ class HTTPSConnection(HTTPConnection):
 
     def __init__(self, host, port=None, key_file=None, cert_file=None,
                  strict=None, timeout=socket._GLOBAL_DEFAULT_TIMEOUT,
-                 ssl_context=None, **kw):
+                 ssl_context=None, server_hostname=None, **kw):
 
         HTTPConnection.__init__(self, host, port, strict=strict,
                                 timeout=timeout, **kw)
@@ -250,6 +250,7 @@ def __init__(self, host, port=None, key_file=None, cert_file=None,
         self.key_file = key_file
         self.cert_file = cert_file
         self.ssl_context = ssl_context
+        self.server_hostname = server_hostname
 
         # Required property for Google AppEngine 1.9.0 which otherwise causes
         # HTTPS requests to go out as HTTP. (See Issue #356)
@@ -270,6 +271,7 @@ def connect(self):
             keyfile=self.key_file,
             certfile=self.cert_file,
             ssl_context=self.ssl_context,
+            server_hostname=self.server_hostname
         )
 
 
@@ -328,6 +330,10 @@ def connect(self):
             # Override the host with the one we're requesting data from.
             hostname = self._tunnel_host
 
+        server_hostname = hostname
+        if self.server_hostname is not None:
+            server_hostname = self.server_hostname
+
         is_time_off = datetime.date.today() < RECENT_DATE
         if is_time_off:
             warnings.warn((
@@ -352,7 +358,7 @@ def connect(self):
             certfile=self.cert_file,
             ca_certs=self.ca_certs,
             ca_cert_dir=self.ca_cert_dir,
-            server_hostname=hostname,
+            server_hostname=server_hostname,
             ssl_context=context)
 
         if self.assert_fingerprint:
@@ -373,7 +379,7 @@ def connect(self):
                     'for details.)'.format(hostname)),
                     SubjectAltNameWarning
                 )
-            _match_hostname(cert, self.assert_hostname or hostname)
+            _match_hostname(cert, self.assert_hostname or server_hostname)
 
         self.is_verified = (
             context.verify_mode == ssl.CERT_REQUIRED or