diff --git a/test/docker/docker_api_test.go b/test/docker/docker_api_test.go
index 22e54dd..297e1e6 100644
--- a/test/docker/docker_api_test.go
+++ b/test/docker/docker_api_test.go
@@ -19,6 +19,7 @@ import (
 	"context"
 	"strings"
 	"testing"
+	"time"
 
 	"github.com/docker/docker/api/types/container"
 	"github.com/docker/docker/api/types/network"
@@ -94,7 +95,7 @@ func utilTestNoQueueManagerName(t *testing.T, hostName string, expectedName stri
 	id := runContainer(t, cli, &containerConfig)
 	defer cleanContainer(t, cli, id)
 	waitForReady(t, cli, id)
-	_, out := execContainer(t, cli, id, []string{"dspmq"})
+	out := execContainerWithOutput(t, cli, id, "mqm", []string{"dspmq"})
 	if !strings.Contains(out, search) {
 		t.Errorf("Expected result of running dspmq to contain name=%v, got name=%v", search, out)
 	}
@@ -219,3 +220,46 @@ func TestStartQueueManagerFail(t *testing.T) {
 		t.Errorf("Expected rc=1, got rc=%v", rc)
 	}
 }
+
+func TestVolumeUnmount(t *testing.T) {
+	cli, err := client.NewEnvClient()
+	if err != nil {
+		t.Fatal(err)
+	}
+	vol := createVolume(t, cli)
+	defer removeVolume(t, cli, vol.Name)
+	containerConfig := container.Config{
+		Image: imageName(),
+		Env:   []string{"LICENSE=accept", "MQ_QMGR_NAME=qm1"},
+	}
+	hostConfig := container.HostConfig{
+		// SYS_ADMIN capability is required to unmount file systems
+		CapAdd: []string{
+			"SYS_ADMIN",
+		},
+		Binds: []string{
+			coverageBind(t),
+			vol.Name + ":/mnt/mqm",
+		},
+	}
+	networkingConfig := network.NetworkingConfig{}
+	ctr, err := cli.ContainerCreate(context.Background(), &containerConfig, &hostConfig, &networkingConfig, t.Name())
+	if err != nil {
+		t.Fatal(err)
+	}
+	startContainer(t, cli, ctr.ID)
+	defer cleanContainer(t, cli, ctr.ID)
+	waitForReady(t, cli, ctr.ID)
+	// Unmount the volume as root
+	rc := execContainerWithExitCode(t, cli, ctr.ID, "root", []string{"umount", "-l", "-f", "/mnt/mqm"})
+	if rc != 0 {
+		t.Fatalf("Expected umount to work with rc=0, got %v", rc)
+	}
+	time.Sleep(3 * time.Second)
+	rc = execContainerWithExitCode(t, cli, ctr.ID, "mqm", []string{"chkmqhealthy"})
+	if rc == 0 {
+		t.Errorf("Expected chkmqhealthy to fail")
+		t.Logf(execContainerWithOutput(t, cli, ctr.ID, "mqm", []string{"df"}))
+		t.Logf(execContainerWithOutput(t, cli, ctr.ID, "mqm", []string{"ps", "-ef"}))
+	}
+}
diff --git a/test/docker/docker_api_test_util.go b/test/docker/docker_api_test_util.go
index f9100ca..d1a30da 100644
--- a/test/docker/docker_api_test_util.go
+++ b/test/docker/docker_api_test_util.go
@@ -179,11 +179,45 @@ func waitForContainer(t *testing.T, cli *client.Client, ID string, timeout int64
 	return rc
 }
 
-// execContainer runs the specified command inside the container, returning the
-// exit code and the stdout/stderr string.
-func execContainer(t *testing.T, cli *client.Client, ID string, cmd []string) (int, string) {
+// execContainerWithExitCode runs a command in a running container, and returns the exit code
+// Note: due to a bug in Docker/Moby code, you always get an exit code of 0 if you attach to the
+// container to get output.  This is why these are two separate commands.
+func execContainerWithExitCode(t *testing.T, cli *client.Client, ID string, user string, cmd []string) int {
 	config := types.ExecConfig{
-		User:         "mqm",
+		User:        user,
+		Privileged:  false,
+		Tty:         false,
+		AttachStdin: false,
+		// Note that you still need to attach stdout/stderr, even though they're not wanted
+		AttachStdout: true,
+		AttachStderr: true,
+		Detach:       false,
+		Cmd:          cmd,
+	}
+	resp, err := cli.ContainerExecCreate(context.Background(), ID, config)
+	if err != nil {
+		t.Fatal(err)
+	}
+	cli.ContainerExecStart(context.Background(), resp.ID, types.ExecStartCheck{
+		Detach: false,
+		Tty:    false,
+	})
+	if err != nil {
+		t.Fatal(err)
+	}
+	inspect, err := cli.ContainerExecInspect(context.Background(), resp.ID)
+	if err != nil {
+		t.Fatal(err)
+	}
+	return inspect.ExitCode
+}
+
+// execContainerWithOutput runs a command in a running container, and returns the output from stdout/stderr
+// Note: due to a bug in Docker/Moby code, you always get an exit code of 0 if you attach to the
+// container to get output.  This is why these are two separate commands.
+func execContainerWithOutput(t *testing.T, cli *client.Client, ID string, user string, cmd []string) string {
+	config := types.ExecConfig{
+		User:         user,
 		Privileged:   false,
 		Tty:          false,
 		AttachStdin:  false,
@@ -207,46 +241,19 @@ func execContainer(t *testing.T, cli *client.Client, ID string, cmd []string) (i
 	if err != nil {
 		t.Fatal(err)
 	}
-	inspect, err := cli.ContainerExecInspect(context.Background(), resp.ID)
-	if err != nil {
-		t.Fatal(err)
-	}
 	// TODO: For some reason, each line seems to start with an extra, random character
 	buf, err := ioutil.ReadAll(hijack.Reader)
 	if err != nil {
 		t.Fatal(err)
 	}
 	hijack.Close()
-	return inspect.ExitCode, string(buf)
+	return string(buf)
 }
 
 func waitForReady(t *testing.T, cli *client.Client, ID string) {
 	for {
-		resp, err := cli.ContainerExecCreate(context.Background(), ID, types.ExecConfig{
-			User:         "mqm",
-			Privileged:   false,
-			Tty:          false,
-			AttachStdin:  false,
-			AttachStdout: true,
-			AttachStderr: true,
-			Detach:       false,
-			Cmd:          []string{"chkmqready"},
-		})
-		if err != nil {
-			t.Fatal(err)
-		}
-		cli.ContainerExecStart(context.Background(), resp.ID, types.ExecStartCheck{
-			Detach: false,
-			Tty:    false,
-		})
-		if err != nil {
-			t.Fatal(err)
-		}
-		inspect, err := cli.ContainerExecInspect(context.Background(), resp.ID)
-		if err != nil {
-			t.Fatal(err)
-		}
-		if inspect.ExitCode == 0 {
+		rc := execContainerWithExitCode(t, cli, ID, "mqm", []string{"chkmqready"})
+		if rc == 0 {
 			t.Log("MQ is ready")
 			return
 		}