diff --git a/prometheus_client/process_collector.py b/prometheus_client/process_collector.py
index b6e75cbc..b6dc48f5 100644
--- a/prometheus_client/process_collector.py
+++ b/prometheus_client/process_collector.py
@@ -83,7 +83,7 @@ def collect(self):
                                               'Number of open file descriptors.',
                                               len(os.listdir(os.path.join(pid, 'fd'))))
             result.extend([open_fds, max_fds])
-        except IOError:
+        except (IOError, OSError):
             pass
 
         return result