diff --git a/neutron/agent/linux/ip_lib.py b/neutron/agent/linux/ip_lib.py
index 0e3d04bcb57..4166a868413 100644
--- a/neutron/agent/linux/ip_lib.py
+++ b/neutron/agent/linux/ip_lib.py
@@ -86,6 +86,8 @@ DEVICE_NAME_PATTERN = re.compile(r"(\d+?): (\S+?):.*")
 IP_ROUTE_METRIC_DEFAULT = {constants.IP_VERSION_4: 0,
                            constants.IP_VERSION_6: 1024}
 
+ARPING_SLEEP = 2
+
 
 def remove_interface_suffix(interface):
     """Remove a possible "<if>@<endpoint>" suffix from an interface' name.
@@ -1060,7 +1062,7 @@ def _arping(ns_name, iface_name, address, count, log_exception):
     for i in range(count):
         if not first:
             # hopefully enough for kernel to get out of locktime loop
-            time.sleep(2)
+            time.sleep(ARPING_SLEEP)
             # On the second (and subsequent) arping calls, we can get a
             # "bind: Cannot assign requested address" error since
             # the IP address might have been deleted concurrently.
diff --git a/neutron/tests/unit/agent/linux/test_ip_lib.py b/neutron/tests/unit/agent/linux/test_ip_lib.py
index 6078d9a2490..435a0a0610a 100644
--- a/neutron/tests/unit/agent/linux/test_ip_lib.py
+++ b/neutron/tests/unit/agent/linux/test_ip_lib.py
@@ -1078,6 +1078,7 @@ class TestIpNeighCommand(TestIPCmdBase):
 
 
 class TestArpPing(TestIPCmdBase):
+    @mock.patch.object(ip_lib, 'ARPING_SLEEP', 0)
     @mock.patch.object(ip_lib, 'IPWrapper')
     @mock.patch('eventlet.spawn_n')
     def test_send_ipv4_addr_adv_notif(self, spawn_n, mIPWrapper):