diff --git a/asyncio/tasks.py b/asyncio/tasks.py
index 06fb5bc9..cab4998e 100644
--- a/asyncio/tasks.py
+++ b/asyncio/tasks.py
@@ -747,7 +747,7 @@ def timeout(timeout, *, loop=None):
     ...     yield from coro()
 
 
-    timeout: timeout value in seconds
+    timeout: timeout value in seconds or None to disable timeout logic
     loop: asyncio compatible event loop
     """
     if loop is None:
@@ -768,8 +768,9 @@ def __enter__(self):
         if self._task is None:
             raise RuntimeError('Timeout context manager should be used '
                                'inside a task')
-        self._cancel_handler = self._loop.call_later(
-            self._timeout, self._cancel_task)
+        if self._timeout is not None:
+            self._cancel_handler = self._loop.call_later(
+                self._timeout, self._cancel_task)
         return self
 
     def __exit__(self, exc_type, exc_val, exc_tb):
@@ -777,8 +778,9 @@ def __exit__(self, exc_type, exc_val, exc_tb):
             self._cancel_handler = None
             self._task = None
             raise futures.TimeoutError
-        self._cancel_handler.cancel()
-        self._cancel_handler = None
+        if self._timeout is not None:
+            self._cancel_handler.cancel()
+            self._cancel_handler = None
         self._task = None
 
     def _cancel_task(self):
diff --git a/tests/test_tasks.py b/tests/test_tasks.py
index acceb9b1..40e5f883 100644
--- a/tests/test_tasks.py
+++ b/tests/test_tasks.py
@@ -2382,6 +2382,22 @@ def go():
 
         self.loop.run_until_complete(go())
 
+    def test_timeout_disable(self):
+        @asyncio.coroutine
+        def long_running_task():
+            yield from asyncio.sleep(0.1, loop=self.loop)
+            return 'done'
+
+        @asyncio.coroutine
+        def go():
+            t0 = self.loop.time()
+            with asyncio.timeout(None, loop=self.loop):
+                resp = yield from long_running_task()
+            self.assertEqual(resp, 'done')
+            dt = self.loop.time() - t0
+            self.assertTrue(0.09 < dt < 0.11, dt)
+        self.loop.run_until_complete(go())
+
     def test_raise_runtimeerror_if_no_task(self):
         with self.assertRaises(RuntimeError):
             with asyncio.timeout(0.1, loop=self.loop):