diff --git a/kombu/connection.py b/kombu/connection.py
index d9e99e4a..392a2542 100644
--- a/kombu/connection.py
+++ b/kombu/connection.py
@@ -10,6 +10,14 @@ from contextlib import contextmanager
 from itertools import count, cycle
 from operator import itemgetter
 
+
+try:
+    from ssl import CERT_NONE
+    ssl_available = True
+except ImportError:  # pragma: no cover
+    CERT_NONE = None
+    ssl_available = False
+
 # jython breaks on relative import for .exceptions for some reason
 # (Issue #112)
 from kombu import exceptions
@@ -234,6 +242,10 @@ class Connection(object):
         transport = transport or 'amqp'
         if transport == 'amqp' and supports_librabbitmq():
             transport = 'librabbitmq'
+        if transport == 'rediss' and ssl_available and not ssl:
+            logger.warn('Secure redis scheme specified (rediss) with no ssl '
+                        'options, defaulting to insecure SSL behaviour.')
+            ssl = {'ssl_cert_reqs': CERT_NONE}
         self.hostname = hostname
         self.userid = userid
         self.password = password
diff --git a/kombu/transport/__init__.py b/kombu/transport/__init__.py
index 535a2165..554852b7 100644
--- a/kombu/transport/__init__.py
+++ b/kombu/transport/__init__.py
@@ -24,6 +24,7 @@ TRANSPORT_ALIASES = {
     'librabbitmq': 'kombu.transport.librabbitmq:Transport',
     'memory': 'kombu.transport.memory:Transport',
     'redis': 'kombu.transport.redis:Transport',
+    'rediss': 'kombu.transport.redis:Transport',
     'SQS': 'kombu.transport.SQS:Transport',
     'sqs': 'kombu.transport.SQS:Transport',
     'mongodb': 'kombu.transport.mongodb:Transport',
diff --git a/t/unit/transport/test_redis.py b/t/unit/transport/test_redis.py
index 32e50820..29d60cda 100644
--- a/t/unit/transport/test_redis.py
+++ b/t/unit/transport/test_redis.py
@@ -819,6 +819,15 @@ class test_Channel:
                     redis.redis.SSLConnection,
                 )
 
+    def test_rediss_connection(self):
+        with patch('kombu.transport.redis.Channel._create_client'):
+            with Connection('rediss://') as conn:
+                connparams = conn.default_channel._connparams()
+                assert issubclass(
+                    connparams['connection_class'],
+                    redis.redis.SSLConnection,
+                )
+
 
 @skip.unless_module('redis')
 class test_Redis: