diff --git a/oslo_service/service.py b/oslo_service/service.py
index 33a57b8e..2e56d30a 100644
--- a/oslo_service/service.py
+++ b/oslo_service/service.py
@@ -28,6 +28,7 @@ import io
 import logging
 import os
 import random
+import select
 import signal
 import six
 import sys
@@ -203,7 +204,8 @@ class SignalHandler(object):
         For Python 3.5 and later, deal with the changes in PEP 475 that prevent
         a signal from interrupting eventlet's call to poll() or sleep().
         """
-        self.__force_interrupt_on_signal = sys.version_info >= (3, 5)
+        self.__force_interrupt_on_signal = (sys.version_info >= (3, 5) and
+                                            hasattr(select, 'poll'))
 
         if self.__force_interrupt_on_signal:
             try:
diff --git a/oslo_service/tests/test_service.py b/oslo_service/tests/test_service.py
index ed678069..0114eb58 100644
--- a/oslo_service/tests/test_service.py
+++ b/oslo_service/tests/test_service.py
@@ -477,6 +477,18 @@ class ProcessLauncherTest(base.ServiceBaseTestCase):
             m.assert_called_once_with(signal.SIGTERM, 'test')
         signal_handler.clear()
 
+    @mock.patch('sys.version_info', (3, 5))
+    @mock.patch.object(service, 'select', spec=[])
+    def test_setup_signal_interruption_no_select_poll(self, mock_select):
+        # NOTE(claudiub): SignalHandler is a singleton, which means that it
+        # might already be initialized. We need to clear to clear the cache
+        # in order to prevent race conditions between tests.
+        service.SignalHandler.__class__._instances.clear()
+        signal_handler = service.SignalHandler()
+        self.addCleanup(service.SignalHandler.__class__._instances.clear)
+        self.assertFalse(
+            signal_handler._SignalHandler__force_interrupt_on_signal)
+
     @mock.patch('signal.alarm')
     @mock.patch("os.kill")
     @mock.patch("oslo_service.service.ProcessLauncher.stop")