diff --git a/cmd/skopeo/utils.go b/cmd/skopeo/utils.go
index bf277e3a..a14e0a08 100644
--- a/cmd/skopeo/utils.go
+++ b/cmd/skopeo/utils.go
@@ -419,9 +419,10 @@ func promptForPassphrase(privateKeyFile string, stdin, stdout *os.File) (string,
 // authentication error, an I/O error etc.)
 // TODO drive this into containers/image properly
 func isNotFoundImageError(err error) bool {
+	var layoutImageNotFoundError ocilayout.ImageNotFoundError
 	return isDockerManifestUnknownError(err) ||
 		errors.Is(err, storage.ErrNoSuchImage) ||
-		errors.Is(err, ocilayout.ImageNotFoundError{})
+		errors.As(err, &layoutImageNotFoundError)
 }
 
 // isDockerManifestUnknownError is a copy of code from containers/image,
diff --git a/integration/copy_test.go b/integration/copy_test.go
index 8f7667c4..56f30c5f 100644
--- a/integration/copy_test.go
+++ b/integration/copy_test.go
@@ -497,6 +497,8 @@ func (s *copySuite) TestCopySimple() {
 	assertSkopeoSucceeds(t, "", "copy", "docker://registry.k8s.io/pause:latest", "oci:"+ociDest+":"+ociImgName)
 	_, err := os.Stat(ociDest)
 	require.NoError(t, err)
+	// copy exits with status 2 if the image is not found within the container, in some transports.
+	assertSkopeoFailsWithStatus(t, 2, "copy", "oci:"+ociDest+":thisdoesnotexist", "dir:"+t.TempDir())
 
 	// docker v2s2 -> OCI image layout without image name
 	ociDest = "pause-latest-noimage"
diff --git a/integration/utils_test.go b/integration/utils_test.go
index 326a4507..1d8dfc55 100644
--- a/integration/utils_test.go
+++ b/integration/utils_test.go
@@ -83,6 +83,16 @@ func assertSkopeoFails(t *testing.T, regexp string, args ...string) {
 	assert.Regexp(t, "(?s)"+regexp, string(out)) // (?s) : '.' will also match newlines
 }
 
+// assertSkopeoFailsWithStatus runs a skopeo command as if exec.Command().CombinedOutput,
+// and verifies that it fails with a specific exit status.
+func assertSkopeoFailsWithStatus(t *testing.T, status int, args ...string) {
+	t.Logf("Running %s %s", skopeoBinary, strings.Join(args, " "))
+	_, err := exec.Command(skopeoBinary, args...).CombinedOutput()
+	var exitErr *exec.ExitError
+	require.ErrorAs(t, err, &exitErr)
+	assert.Equal(t, status, exitErr.ExitCode())
+}
+
 // runCommandWithInput runs a command as if exec.Command(), sending it the input to stdin,
 // and verifies that the exit status is 0, or terminates t on failure.
 func runCommandWithInput(t *testing.T, input string, name string, args ...string) {