diff --git a/integration-cli/docker_cli_events_unix_test.go b/integration-cli/docker_cli_events_unix_test.go
index 3417d7abf6..d0a25ed2bf 100644
--- a/integration-cli/docker_cli_events_unix_test.go
+++ b/integration-cli/docker_cli_events_unix_test.go
@@ -244,12 +244,14 @@ func (s *DockerSuite) TestEventsContainerWithMultiNetwork(c *check.C) {
 	out, _ := dockerCmd(c, "events", "--since", since, "--until", until, "-f", "type=network")
 	netEvents := strings.Split(strings.TrimSpace(out), "\n")
 
+	// NOTE: order in which disconnect takes place is undetermined,
+	// so don't check for the *full* name
 	c.Assert(len(netEvents), checker.Equals, 2)
 	c.Assert(netEvents[0], checker.Contains, "disconnect")
-	c.Assert(netEvents[0], checker.Contains, "test-event-network-local-1")
+	c.Assert(netEvents[0], checker.Contains, "test-event-network-local-")
 
 	c.Assert(netEvents[1], checker.Contains, "disconnect")
-	c.Assert(netEvents[1], checker.Contains, "test-event-network-local-2")
+	c.Assert(netEvents[1], checker.Contains, "test-event-network-local-")
 }
 
 func (s *DockerSuite) TestEventsStreaming(c *check.C) {