diff --git a/lower-constraints.txt b/lower-constraints.txt
index db63fe6ac..b67442e30 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -32,7 +32,6 @@ linecache2==1.0.0
 MarkupSafe==1.0
 mccabe==0.2.1
 mock==2.0.0
-monotonic==0.6
 mox3==0.20.0
 msgpack-python==0.4.0
 netaddr==0.7.18
diff --git a/oslo_messaging/_drivers/amqp1_driver/controller.py b/oslo_messaging/_drivers/amqp1_driver/controller.py
index 24dfc99ba..3e2f5bbf8 100644
--- a/oslo_messaging/_drivers/amqp1_driver/controller.py
+++ b/oslo_messaging/_drivers/amqp1_driver/controller.py
@@ -51,11 +51,6 @@ from oslo_messaging import exceptions
 from oslo_messaging.target import Target
 from oslo_messaging import transport
 
-if hasattr(time, 'monotonic'):
-    now = time.monotonic
-else:
-    from monotonic import monotonic as now  # noqa
-
 LOG = logging.getLogger(__name__)
 
 
@@ -980,7 +975,7 @@ class Controller(pyngus.ConnectionEventHandler):
     # methods executed by Tasks created by the driver:
 
     def send(self, send_task):
-        if send_task.deadline and send_task.deadline <= now():
+        if send_task.deadline and send_task.deadline <= time.monotonic():
             send_task._on_timeout()
             return
         key = keyify(send_task.target, send_task.service)
diff --git a/oslo_messaging/_drivers/amqp1_driver/eventloop.py b/oslo_messaging/_drivers/amqp1_driver/eventloop.py
index b6ffe7286..7cfd2ea4e 100644
--- a/oslo_messaging/_drivers/amqp1_driver/eventloop.py
+++ b/oslo_messaging/_drivers/amqp1_driver/eventloop.py
@@ -35,18 +35,13 @@ import threading
 import time
 import uuid
 
-if hasattr(time, 'monotonic'):
-    now = time.monotonic
-else:
-    from monotonic import monotonic as now  # noqa
-
 LOG = logging.getLogger(__name__)
 
 
 def compute_timeout(offset):
     # minimize the timer granularity to one second so we don't have to track
     # too many timers
-    return math.ceil(now() + offset)
+    return math.ceil(time.monotonic() + offset)
 
 
 class _SocketConnection(object):
@@ -75,7 +70,7 @@ class _SocketConnection(object):
         if self.socket:
             try:
                 pyngus.read_socket_input(self.pyngus_conn, self.socket)
-                self.pyngus_conn.process(now())
+                self.pyngus_conn.process(time.monotonic())
             except (socket.timeout, socket.error) as e:
                 # pyngus handles EAGAIN/EWOULDBLOCK and EINTER
                 self.pyngus_conn.close_input()
@@ -87,7 +82,7 @@ class _SocketConnection(object):
         if self.socket:
             try:
                 pyngus.write_socket_output(self.pyngus_conn, self.socket)
-                self.pyngus_conn.process(now())
+                self.pyngus_conn.process(time.monotonic())
             except (socket.timeout, socket.error) as e:
                 # pyngus handles EAGAIN/EWOULDBLOCK and EINTER
                 self.pyngus_conn.close_output()
@@ -213,7 +208,7 @@ class Scheduler(object):
         due = self._deadlines[0] if self._deadlines else None
         if due is None:
             return max_delay
-        _now = now()
+        _now = time.monotonic()
         if due <= _now:
             return 0
         else:
@@ -222,7 +217,7 @@ class Scheduler(object):
     def _process(self):
         """Invoke all expired callables."""
         if self._deadlines:
-            _now = now()
+            _now = time.monotonic()
             try:
                 while self._deadlines[0] <= _now:
                     deadline = heapq.heappop(self._deadlines)
@@ -376,7 +371,7 @@ class Thread(threading.Thread):
 
             # force select to return in time to service the next expiring timer
             if deadline:
-                _now = now()
+                _now = time.monotonic()
                 timeout = 0 if deadline <= _now else (deadline - _now)
             else:
                 timeout = None
@@ -397,7 +392,7 @@ class Thread(threading.Thread):
             self._requests.process_requests()
             self._connection.read_socket()
             if pyngus_conn and pyngus_conn.deadline:
-                _now = now()
+                _now = time.monotonic()
                 if pyngus_conn.deadline <= _now:
                     pyngus_conn.process(_now)
             self._connection.write_socket()
diff --git a/requirements.txt b/requirements.txt
index ad19a3877..e8261a20d 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -12,7 +12,6 @@ oslo.serialization!=2.19.1,>=2.18.0 # Apache-2.0
 oslo.service!=1.28.1,>=1.24.0 # Apache-2.0
 stevedore>=1.20.0 # Apache-2.0
 debtcollector>=1.2.0 # Apache-2.0
-monotonic>=0.6;python_version<'3.3' # Apache-2.0
 
 # for jsonutils
 six>=1.10.0 # MIT