diff --git a/staging/src/k8s.io/mount-utils/mount_helper_common.go b/staging/src/k8s.io/mount-utils/mount_helper_common.go
index 0183f6e71c7..69b2849d00d 100644
--- a/staging/src/k8s.io/mount-utils/mount_helper_common.go
+++ b/staging/src/k8s.io/mount-utils/mount_helper_common.go
@@ -146,7 +146,7 @@ func removePathIfNotMountPoint(mountPath string, mounter Interface, extensiveMou
 
 // removePath attempts to remove the directory. Returns nil if the directory was removed or does not exist.
 func removePath(mountPath string) error {
-	klog.Warningf("Warning: deleting mount path %q", mountPath)
+	klog.Warningf("Warning: deleting path %q", mountPath)
 	err := os.Remove(mountPath)
 	if os.IsNotExist(err) {
 		klog.V(4).Infof("%q does not exist", mountPath)
diff --git a/staging/src/k8s.io/mount-utils/mount_linux.go b/staging/src/k8s.io/mount-utils/mount_linux.go
index 0ae9cd4b208..333035fd562 100644
--- a/staging/src/k8s.io/mount-utils/mount_linux.go
+++ b/staging/src/k8s.io/mount-utils/mount_linux.go
@@ -233,6 +233,11 @@ func detectSystemd() bool {
 // When possible, we will trust umount's message and avoid doing our own mount point checks.
 // More info: https://github.com/util-linux/util-linux/blob/v2.2/mount/umount.c#L179
 func detectSafeNotMountedBehavior() bool {
+	return detectSafeNotMountedBehaviorWithExec(utilexec.New())
+}
+
+// detectSafeNotMountedBehaviorWithExec is for testing with FakeExec.
+func detectSafeNotMountedBehaviorWithExec(exec utilexec.Interface) bool {
 	if _, err := exec.LookPath("umount"); err != nil {
 		klog.V(2).Infof("Failed to locate umount executable to detect safe 'not mounted' behavior")
 		return false
diff --git a/staging/src/k8s.io/mount-utils/mount_linux_test.go b/staging/src/k8s.io/mount-utils/mount_linux_test.go
index 72547b91d94..dc5939041ab 100644
--- a/staging/src/k8s.io/mount-utils/mount_linux_test.go
+++ b/staging/src/k8s.io/mount-utils/mount_linux_test.go
@@ -20,11 +20,15 @@ limitations under the License.
 package mount
 
 import (
+	"errors"
 	"io/ioutil"
 	"os"
 	"reflect"
 	"strings"
 	"testing"
+
+	utilexec "k8s.io/utils/exec"
+	testexec "k8s.io/utils/exec/testing"
 )
 
 func TestReadProcMountsFrom(t *testing.T) {
@@ -545,3 +549,66 @@ func mountArgsContainOption(t *testing.T, mountArgs []string, option string) boo
 
 	return strings.Contains(mountArgs[optionsIndex], option)
 }
+
+func TestDetectSafeNotMountedBehavior(t *testing.T) {
+	// example output for umount from util-linux 2.30.2
+	notMountedOutput := "umount: /foo: not mounted."
+
+	// Arrange
+	testcases := []struct {
+		fakeCommandAction testexec.FakeCommandAction
+		expectedSafe      bool
+	}{
+		{
+			fakeCommandAction: makeFakeCommandAction(notMountedOutput, errors.New("any error")),
+			expectedSafe:      true,
+		},
+		{
+			fakeCommandAction: makeFakeCommandAction(notMountedOutput, nil),
+			expectedSafe:      false,
+		},
+		{
+			fakeCommandAction: makeFakeCommandAction("any output", nil),
+			expectedSafe:      false,
+		},
+		{
+			fakeCommandAction: makeFakeCommandAction("any output", errors.New("any error")),
+			expectedSafe:      false,
+		},
+	}
+
+	for _, v := range testcases {
+		// Prepare
+		fakeexec := &testexec.FakeExec{
+			LookPathFunc: func(s string) (string, error) {
+				return "fake-umount", nil
+			},
+			CommandScript: []testexec.FakeCommandAction{v.fakeCommandAction},
+		}
+		// Act
+		isSafe := detectSafeNotMountedBehaviorWithExec(fakeexec)
+		// Assert
+		if isSafe != v.expectedSafe {
+			var adj string
+			if v.expectedSafe {
+				adj = "safe"
+			} else {
+				adj = "unsafe"
+			}
+			t.Errorf("Expected to detect %s umount behavior, but did not", adj)
+		}
+	}
+}
+
+func makeFakeCommandAction(stdout string, err error) testexec.FakeCommandAction {
+	c := testexec.FakeCmd{
+		CombinedOutputScript: []testexec.FakeAction{
+			func() ([]byte, []byte, error) {
+				return []byte(stdout), nil, err
+			},
+		},
+	}
+	return func(cmd string, args ...string) utilexec.Cmd {
+		return testexec.InitFakeCmd(&c, cmd, args...)
+	}
+}