diff --git a/integration/container_test.go b/integration/container_test.go
index 4efb95a2a..980fb4419 100644
--- a/integration/container_test.go
+++ b/integration/container_test.go
@@ -434,28 +434,6 @@ func TestOutput(t *testing.T) {
 	}
 }
 
-func TestContainerNetwork(t *testing.T) {
-	runtime := mkRuntime(t)
-	defer nuke(runtime)
-	container, _, err := runtime.Create(
-		&runconfig.Config{
-			Image: GetTestImage(runtime).ID,
-			Cmd:   []string{"ping", "-c", "1", "127.0.0.1"},
-		},
-		"",
-	)
-	if err != nil {
-		t.Fatal(err)
-	}
-	defer runtime.Destroy(container)
-	if err := container.Run(); err != nil {
-		t.Fatal(err)
-	}
-	if code := container.State.GetExitCode(); code != 0 {
-		t.Fatalf("Unexpected ping 127.0.0.1 exit code %d (expected 0)", code)
-	}
-}
-
 func TestKillDifferentUser(t *testing.T) {
 	runtime := mkRuntime(t)
 	defer nuke(runtime)
@@ -1523,6 +1501,53 @@ func TestVolumesFromWithVolumes(t *testing.T) {
 	}
 }
 
+func TestContainerNetwork(t *testing.T) {
+	runtime := mkRuntime(t)
+	defer nuke(runtime)
+	container, _, err := runtime.Create(
+		&runconfig.Config{
+			Image: GetTestImage(runtime).ID,
+			// If I change this to ping 8.8.8.8 it fails.  Any idea why? - timthelion
+			Cmd: []string{"ping", "-c", "1", "127.0.0.1"},
+		},
+		"",
+	)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer runtime.Destroy(container)
+	if err := container.Run(); err != nil {
+		t.Fatal(err)
+	}
+	if code := container.State.GetExitCode(); code != 0 {
+		t.Fatalf("Unexpected ping 127.0.0.1 exit code %d (expected 0)", code)
+	}
+}
+
+// Issue #4681
+func TestLoopbackFunctionsWhenNetworkingIsDissabled(t *testing.T) {
+	runtime := mkRuntime(t)
+	defer nuke(runtime)
+	container, _, err := runtime.Create(
+		&runconfig.Config{
+			Image:           GetTestImage(runtime).ID,
+			Cmd:             []string{"ping", "-c", "1", "127.0.0.1"},
+			NetworkDisabled: true,
+		},
+		"",
+	)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer runtime.Destroy(container)
+	if err := container.Run(); err != nil {
+		t.Fatal(err)
+	}
+	if code := container.State.GetExitCode(); code != 0 {
+		t.Fatalf("Unexpected ping 127.0.0.1 exit code %d (expected 0)", code)
+	}
+}
+
 func TestOnlyLoopbackExistsWhenUsingDisableNetworkOption(t *testing.T) {
 	eng := NewTestEngine(t)
 	runtime := mkRuntimeFromEngine(eng, t)