diff --git a/oslo_utils/timeutils.py b/oslo_utils/timeutils.py
index 117ae03d..1e730a18 100644
--- a/oslo_utils/timeutils.py
+++ b/oslo_utils/timeutils.py
@@ -24,12 +24,16 @@ import time
 
 from debtcollector import removals
 import iso8601
-from monotonic import monotonic as now  # noqa
 import pytz
 import six
 
 from oslo_utils import reflection
 
+if hasattr(time, 'monotonic'):
+    now = time.monotonic
+else:
+    from monotonic import monotonic as now  # noqa
+
 # ISO 8601 extended time format with microseconds
 _ISO8601_TIME_FORMAT_SUBSECOND = '%Y-%m-%dT%H:%M:%S.%f'
 _ISO8601_TIME_FORMAT = '%Y-%m-%dT%H:%M:%S'
diff --git a/requirements.txt b/requirements.txt
index 803e5a66..9e3c4580 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -12,7 +12,7 @@ six>=1.10.0 # MIT
 funcsigs>=1.0.0;python_version=='2.7' or python_version=='2.6' # Apache-2.0
 iso8601>=0.1.11 # MIT
 oslo.i18n>=3.15.3 # Apache-2.0
-monotonic>=0.6 # Apache-2.0
+monotonic>=0.6;python_version<'3.3' # Apache-2.0
 pytz>=2013.6 # MIT
 netaddr>=0.7.18 # BSD
 netifaces>=0.10.4 # MIT