diff --git a/.travis.yml b/.travis.yml
index 8e7c12a..7a2bc89 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -8,12 +8,21 @@ python:
   - "3.7"
   - "3.8-dev"
 
+env:
+  - TORNADO=">=4,<5"
+  - TORNADO=">=5,<6"
+  - TORNADO=">=6"
+
 matrix:
   allow_failures:
     - python: "3.8-dev"
+  exclude:
+  - python: "2.7"
+    env: TORNADO=">=6"
 
 install:
   - make bootstrap
+  - pip install -q "tornado$TORNADO"
 
 script:
   - make test testbed lint
diff --git a/opentracing/__init__.py b/opentracing/__init__.py
index 0151d3f..57d49e7 100644
--- a/opentracing/__init__.py
+++ b/opentracing/__init__.py
@@ -14,6 +14,11 @@
 # limitations under the License.
 
 from __future__ import absolute_import
+try:
+    # Contextvars backport with coroutine supporting (python 3.6).
+    import aiocontextvars  # noqa
+except ImportError:
+    pass
 from .span import Span  # noqa
 from .span import SpanContext  # noqa
 from .scope import Scope  # noqa
diff --git a/opentracing/scope_managers/asyncio.py b/opentracing/scope_managers/asyncio.py
index c5ffb49..83f056c 100644
--- a/opentracing/scope_managers/asyncio.py
+++ b/opentracing/scope_managers/asyncio.py
@@ -20,32 +20,29 @@
 
 from __future__ import absolute_import
 
-import asyncio
+from contextvars import ContextVar
 
 from opentracing import Scope
 from opentracing.scope_managers import ThreadLocalScopeManager
-from .constants import ACTIVE_ATTR
+
+
+_SCOPE = ContextVar('scope')
 
 
 class AsyncioScopeManager(ThreadLocalScopeManager):
     """
     :class:`~opentracing.ScopeManager` implementation for **asyncio**
-    that stores the :class:`~opentracing.Scope` in the current
-    :class:`Task` (:meth:`Task.current_task()`), falling back to
-    thread-local storage if none was being executed.
+    that stores the :class:`~opentracing.Scope` using ContextVar.
 
-    Automatic :class:`~opentracing.Span` propagation from
-    parent coroutines to their children is not provided, which needs to be
-    done manually:
+    The scope manager provides automatic :class:`~opentracing.Span` propagation
+    from parent coroutines to their children.
 
     .. code-block:: python
 
         async def child_coroutine(span):
-            # activate the parent Span, but do not finish it upon
-            # deactivation. That will be done by the parent coroutine.
-            with tracer.scope_manager.activate(span, finish_on_close=False):
-                with tracer.start_active_span('child') as scope:
-                    ...
+            # No need manual activation of parent span in child coroutine.
+            with tracer.start_active_span('child') as scope:
+                ...
 
         async def parent_coroutine():
             with tracer.start_active_span('parent') as scope:
@@ -63,24 +60,13 @@ def activate(self, span, finish_on_close):
         :param finish_on_close: whether *span* should automatically be
             finished when :meth:`Scope.close()` is called.
 
-        If no :class:`Task` is being executed, thread-local
-        storage will be used to store the :class:`~opentracing.Scope`.
-
         :return: a :class:`~opentracing.Scope` instance to control the end
             of the active period for the :class:`~opentracing.Span`.
             It is a programming error to neglect to call :meth:`Scope.close()`
             on the returned instance.
         """
 
-        task = self._get_task()
-        if not task:
-            return super(AsyncioScopeManager, self).activate(span,
-                                                             finish_on_close)
-
-        scope = _AsyncioScope(self, span, finish_on_close)
-        self._set_task_scope(scope, task)
-
-        return scope
+        return self._set_scope(span, finish_on_close)
 
     @property
     def active(self):
@@ -93,46 +79,25 @@ def active(self):
             or ``None`` if not available.
         """
 
-        task = self._get_task()
-        if not task:
-            return super(AsyncioScopeManager, self).active
+        return self._get_scope()
 
-        return self._get_task_scope(task)
+    def _set_scope(self, span, finish_on_close):
+        return _AsyncioScope(self, span, finish_on_close)
 
-    def _get_task(self):
-        try:
-            # Prevent failure when run from a thread
-            # without an event loop.
-            loop = asyncio.get_event_loop()
-        except RuntimeError:
-            return None
-
-        return asyncio.Task.current_task(loop=loop)
-
-    def _set_task_scope(self, scope, task=None):
-        if task is None:
-            task = self._get_task()
-
-        setattr(task, ACTIVE_ATTR, scope)
-
-    def _get_task_scope(self, task=None):
-        if task is None:
-            task = self._get_task()
-
-        return getattr(task, ACTIVE_ATTR, None)
+    def _get_scope(self):
+        return _SCOPE.get(None)
 
 
 class _AsyncioScope(Scope):
     def __init__(self, manager, span, finish_on_close):
         super(_AsyncioScope, self).__init__(manager, span)
         self._finish_on_close = finish_on_close
-        self._to_restore = manager.active
+        self._token = _SCOPE.set(self)
 
     def close(self):
         if self.manager.active is not self:
             return
-
-        self.manager._set_task_scope(self._to_restore)
+        _SCOPE.reset(self._token)
 
         if self._finish_on_close:
             self.span.finish()
diff --git a/setup.py b/setup.py
index 0bb1272..2fedd71 100644
--- a/setup.py
+++ b/setup.py
@@ -26,6 +26,10 @@
     include_package_data=True,
     zip_safe=False,
     platforms='any',
+    install_requires=[
+        'futures;python_version=="2.7"',
+        'aiocontextvars;python_version>="3.5"',
+    ],
     extras_require={
         'tests': [
             'doubles',
@@ -40,8 +44,7 @@
 
             'six>=1.10.0,<2.0',
             'gevent',
-            'tornado<6',
+            'tornado',
         ],
-        ':python_version == "2.7"': ['futures'],
     },
 )
diff --git a/testbed/README.md b/testbed/README.md
index b4043c9..1b71342 100644
--- a/testbed/README.md
+++ b/testbed/README.md
@@ -18,12 +18,17 @@ Alternatively, due to the organization of the suite, it's possible to run direct
 
 ## Tested frameworks
 
-Currently the examples cover `threading`, `tornado`, `gevent` and `asyncio` (which requires Python 3). Each example uses their respective `ScopeManager` instance from `opentracing.scope_managers`, along with their related requirements and limitations.
+Currently the examples cover from ..utils import get_one_by_operation_name, stop_loop_when
+`threading`, `tornado`, `gevent` and `asyncio` (which requires Python 3). Each example uses their respective `ScopeManager` instance from `opentracing.scope_managers`, along with their related requirements and limitations.
 
-### threading, asyncio and gevent
+### threading and gevent
 
 No automatic `Span` propagation between parent and children tasks is provided, and thus the `Span` need to be manually passed down the chain.
 
+### asyncio
+
+`AsyncioScopeManager` supports automatically propagate the context from parent coroutines to their children. For compatibility reasons with previous version of `AsyncioScopeManager`, asyncio testbed contains test cases showing that manual activation of parent span in child span also works as expected. 
+
 ### tornado
 
 `TornadoScopeManager` uses a variation of `tornado.stack_context.StackContext` to both store **and** automatically propagate the context from parent coroutines to their children. 
diff --git a/testbed/__main__.py b/testbed/__main__.py
index 1dd2ceb..b59d2bf 100644
--- a/testbed/__main__.py
+++ b/testbed/__main__.py
@@ -1,15 +1,21 @@
 from importlib import import_module
 import logging
 import os
+import sys
 import six
 import unittest
+from tornado import version_info as tornado_version
 
 
 enabled_platforms = [
     'threads',
-    'tornado',
     'gevent',
 ]
+if tornado_version < (6, 0, 0, 0):
+    # Including testbed for Tornado coroutines and stack context.
+    # We don't need run testbed in case Tornado>=6, because it became
+    # asyncio-based framework and `stack_context` was deprecated.
+    enabled_platforms.append('tornado')
 if six.PY3:
     enabled_platforms.append('asyncio')
 
@@ -47,4 +53,6 @@ def get_test_directories():
         suite = loader.loadTestsFromModule(test_module)
         main_suite.addTests(suite)
 
-unittest.TextTestRunner(verbosity=3).run(main_suite)
+result = unittest.TextTestRunner(verbosity=3).run(main_suite)
+if result.failures or result.errors:
+    sys.exit(1)
diff --git a/testbed/test_late_span_finish/test_asyncio.py b/testbed/test_late_span_finish/test_asyncio.py
index 782ade2..46bbef1 100644
--- a/testbed/test_late_span_finish/test_asyncio.py
+++ b/testbed/test_late_span_finish/test_asyncio.py
@@ -18,7 +18,8 @@ def setUp(self):
 
     def test_main(self):
         # Create a Span and use it as (explicit) parent of a pair of subtasks.
-        parent_span = self.tracer.start_span('parent')
+        parent_scope = self.tracer.start_active_span('parent')
+        parent_span = parent_scope.span
         self.submit_subtasks(parent_span)
 
         stop_loop_when(self.loop,
@@ -26,7 +27,7 @@ def test_main(self):
         self.loop.run_forever()
 
         # Late-finish the parent Span now.
-        parent_span.finish()
+        parent_scope.close()
 
         spans = self.tracer.finished_spans()
         self.assertEqual(len(spans), 3)
@@ -44,7 +45,19 @@ async def task(name):
             logger.info('Running %s' % name)
             with self.tracer.scope_manager.activate(parent_span, False):
                 with self.tracer.start_active_span(name):
-                    asyncio.sleep(0.1)
+                    await asyncio.sleep(0.1)
+
+        self.loop.create_task(task('task1'))
+        self.loop.create_task(task('task2'))
+
+
+class TestAutoContextPropagationAsyncio(TestAsyncio):
+
+    def submit_subtasks(self, parent_span):
+        async def task(name):
+            logger.info('Running %s' % name)
+            with self.tracer.start_active_span(name):
+                await asyncio.sleep(0.1)
 
         self.loop.create_task(task('task1'))
         self.loop.create_task(task('task2'))
diff --git a/testbed/test_multiple_callbacks/test_asyncio.py b/testbed/test_multiple_callbacks/test_asyncio.py
index 1da3146..9a5dea4 100644
--- a/testbed/test_multiple_callbacks/test_asyncio.py
+++ b/testbed/test_multiple_callbacks/test_asyncio.py
@@ -57,3 +57,11 @@ def submit_callbacks(self):
             tasks.append(t)
 
         return tasks
+
+
+class TestAutoContextPropagationAsyncio(TestAsyncio):
+
+    async def task(self, interval, parent_span):
+        logger.info('Starting task')
+        with self.tracer.start_active_span('task'):
+            await asyncio.sleep(interval)
diff --git a/testbed/test_nested_callbacks/test_asyncio.py b/testbed/test_nested_callbacks/test_asyncio.py
index 21ae115..ae4737a 100644
--- a/testbed/test_nested_callbacks/test_asyncio.py
+++ b/testbed/test_nested_callbacks/test_asyncio.py
@@ -56,3 +56,25 @@ async def task3():
                 self.loop.create_task(task2())
 
         self.loop.create_task(task1())
+
+
+class TestAutoContextPropagationAsyncio(TestAsyncio):
+
+    def submit(self):
+        span = self.tracer.scope_manager.active.span
+
+        async def task1():
+            span.set_tag('key1', '1')
+
+            async def task2():
+                span.set_tag('key2', '2')
+
+                async def task3():
+                    span.set_tag('key3', '3')
+                    span.finish()
+
+                self.loop.create_task(task3())
+
+            self.loop.create_task(task2())
+
+        self.loop.create_task(task1())
diff --git a/testbed/test_subtask_span_propagation/test_asyncio.py b/testbed/test_subtask_span_propagation/test_asyncio.py
index 73b4ccd..02f04cb 100644
--- a/testbed/test_subtask_span_propagation/test_asyncio.py
+++ b/testbed/test_subtask_span_propagation/test_asyncio.py
@@ -1,7 +1,5 @@
 from __future__ import absolute_import, print_function
 
-import functools
-
 import asyncio
 
 from opentracing.mocktracer import MockTracer
@@ -33,3 +31,10 @@ async def child_task(self, message, span):
         with self.tracer.scope_manager.activate(span, False):
             with self.tracer.start_active_span('child'):
                 return '%s::response' % message
+
+
+class TestAutoContextPropagationAsyncio(TestAsyncio):
+
+    async def child_task(self, message, span):
+        with self.tracer.start_active_span('child'):
+            return '%s::response' % message
diff --git a/tests/scope_managers/test_tornado.py b/tests/scope_managers/test_tornado.py
index 99177f3..6e85390 100644
--- a/tests/scope_managers/test_tornado.py
+++ b/tests/scope_managers/test_tornado.py
@@ -19,16 +19,22 @@
 # THE SOFTWARE.
 
 from __future__ import absolute_import
-
+import pytest
 from unittest import TestCase
 
-from tornado import ioloop
-
-from opentracing.scope_managers.tornado import TornadoScopeManager
-from opentracing.scope_managers.tornado import tracer_stack_context
+from tornado import ioloop, version_info
+try:
+    from opentracing.scope_managers.tornado import TornadoScopeManager
+    from opentracing.scope_managers.tornado import tracer_stack_context
+except ImportError:
+    pass
 from opentracing.harness.scope_check import ScopeCompatibilityCheckMixin
 
 
+# We don't need run tests in case Tornado>=6, because it became
+# asyncio-based framework and `stack_context` was deprecated.
+@pytest.mark.skipif(version_info >= (6, 0, 0, 0),
+                    reason='skip Tornado >= 6')
 class TornadoCompabilityCheck(TestCase, ScopeCompatibilityCheckMixin):
     def scope_manager(self):
         return TornadoScopeManager()