diff --git a/lower-constraints.txt b/lower-constraints.txt
index 5a134ce2..9cc38298 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -22,7 +22,6 @@ keystoneauth1==3.4.0
 linecache2==1.0.0
 MarkupSafe==1.0
 mccabe==0.2.1
-monotonic==0.6
 mox3==0.20.0
 msgpack-python==0.4.0
 netaddr==0.7.18
diff --git a/oslo_service/__init__.py b/oslo_service/__init__.py
index e6bdeccd..17ab9d3c 100644
--- a/oslo_service/__init__.py
+++ b/oslo_service/__init__.py
@@ -20,15 +20,6 @@ time = eventlet.patcher.original('time')
 
 LOG = logging.getLogger(__name__)
 
-# TODO(bnemec): When we have a minimum dependency on a version of eventlet
-# that uses monotonic by default, remove this monkey patching.
-if hasattr(time, 'monotonic'):
-    # Use builtin monotonic clock, Python 3.3+
-    _monotonic = time.monotonic
-else:
-    import monotonic
-    _monotonic = monotonic.monotonic
-
 
 def service_hub():
     # NOTE(dims): Add a custom impl for EVENTLET_HUB, so we can
@@ -36,7 +27,7 @@ def service_hub():
     # uses time.time() and we need to use a monotonic timer
     # to ensure that things like loopingcall work properly.
     hub = eventlet.hubs.get_default_hub().Hub()
-    hub.clock = _monotonic
+    hub.clock = time.monotonic
     # get_default_hub() will return a hub that is supported on this platform
     hub.is_available = lambda: True
     return hub
diff --git a/oslo_service/periodic_task.py b/oslo_service/periodic_task.py
index ea3a9e14..51b5109b 100644
--- a/oslo_service/periodic_task.py
+++ b/oslo_service/periodic_task.py
@@ -16,16 +16,12 @@ import logging
 import random
 import six
 import time
+from time import monotonic as now
 
 from oslo_service._i18n import _
 from oslo_service import _options
 from oslo_utils import reflection
 
-if hasattr(time, 'monotonic'):
-    now = time.monotonic
-else:
-    from monotonic import monotonic as now  # noqa
-
 LOG = logging.getLogger(__name__)
 
 DEFAULT_INTERVAL = 60.0
diff --git a/oslo_service/tests/test_loopingcall.py b/oslo_service/tests/test_loopingcall.py
index 537bd2c6..4192d086 100644
--- a/oslo_service/tests/test_loopingcall.py
+++ b/oslo_service/tests/test_loopingcall.py
@@ -11,13 +11,13 @@
 #    WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
 #    License for the specific language governing permissions and limitations
 #    under the License.
+import time
 from unittest import mock
 
 import eventlet
 from eventlet.green import threading as greenthreading
 from oslotest import base as test_base
 
-import oslo_service
 from oslo_service import fixture
 from oslo_service import loopingcall
 
@@ -38,7 +38,7 @@ class LoopingCallTestCase(test_base.BaseTestCase):
     def test_monotonic_timer(self):
         def _raise_it():
             clock = eventlet.hubs.get_hub().clock
-            ok = (clock == oslo_service._monotonic)
+            ok = (clock == time.monotonic)
             raise loopingcall.LoopingCallDone(ok)
 
         timer = loopingcall.FixedIntervalLoopingCall(_raise_it)
@@ -48,7 +48,7 @@ class LoopingCallTestCase(test_base.BaseTestCase):
         # Make sure that by default the oslo_service.service_hub() kicks in,
         # test in the main thread
         hub = eventlet.hubs.get_hub()
-        self.assertEqual(oslo_service._monotonic,
+        self.assertEqual(time.monotonic,
                          hub.clock)
 
     def test_return_false(self):
@@ -172,7 +172,7 @@ class DynamicLoopingCallTestCase(test_base.BaseTestCase):
     def test_monotonic_timer(self):
         def _raise_it():
             clock = eventlet.hubs.get_hub().clock
-            ok = (clock == oslo_service._monotonic)
+            ok = (clock == time.monotonic)
             raise loopingcall.LoopingCallDone(ok)
 
         timer = loopingcall.DynamicLoopingCall(_raise_it)