diff --git a/cmd/skopeo/utils.go b/cmd/skopeo/utils.go
index bf277e3a..77ce7704 100644
--- a/cmd/skopeo/utils.go
+++ b/cmd/skopeo/utils.go
@@ -13,6 +13,7 @@ import (
 	"github.com/containers/common/pkg/retry"
 	"github.com/containers/image/v5/directory"
 	"github.com/containers/image/v5/manifest"
+	ociarchive "github.com/containers/image/v5/oci/archive"
 	ocilayout "github.com/containers/image/v5/oci/layout"
 	"github.com/containers/image/v5/pkg/compression"
 	"github.com/containers/image/v5/storage"
@@ -419,9 +420,12 @@ 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
+	var archiveImageNotFoundError ociarchive.ImageNotFoundError
 	return isDockerManifestUnknownError(err) ||
 		errors.Is(err, storage.ErrNoSuchImage) ||
-		errors.Is(err, ocilayout.ImageNotFoundError{})
+		errors.As(err, &layoutImageNotFoundError) ||
+		errors.As(err, &archiveImageNotFoundError)
 }
 
 // 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 ecd89c5e..1d8dfc55 100644
--- a/integration/utils_test.go
+++ b/integration/utils_test.go
@@ -55,7 +55,7 @@ func consumeAndLogOutputs(t *testing.T, id string, cmd *exec.Cmd) {
 }
 
 // combinedOutputOfCommand runs a command as if exec.Command().CombinedOutput(), verifies that the exit status is 0, and returns the output,
-// or terminates c on failure.
+// or terminates t on failure.
 func combinedOutputOfCommand(t *testing.T, name string, args ...string) string {
 	t.Logf("Running %s %s", name, strings.Join(args, " "))
 	out, err := exec.Command(name, args...).CombinedOutput()
@@ -64,8 +64,7 @@ func combinedOutputOfCommand(t *testing.T, name string, args ...string) string {
 }
 
 // assertSkopeoSucceeds runs a skopeo command as if exec.Command().CombinedOutput, verifies that the exit status is 0,
-// and optionally that the output matches a multi-line regexp if it is nonempty;
-// or terminates c on failure
+// and optionally that the output matches a multi-line regexp if it is nonempty
 func assertSkopeoSucceeds(t *testing.T, regexp string, args ...string) {
 	t.Logf("Running %s %s", skopeoBinary, strings.Join(args, " "))
 	out, err := exec.Command(skopeoBinary, args...).CombinedOutput()
@@ -75,9 +74,8 @@ func assertSkopeoSucceeds(t *testing.T, regexp string, args ...string) {
 	}
 }
 
-// assertSkopeoFails runs a skopeo command as if exec.Command().CombinedOutput, verifies that the exit status is 0,
-// and that the output matches a multi-line regexp;
-// or terminates c on failure
+// assertSkopeoFails runs a skopeo command as if exec.Command().CombinedOutput, verifies that the exit status is not 0,
+// and that the output matches a multi-line regexp
 func assertSkopeoFails(t *testing.T, regexp string, args ...string) {
 	t.Logf("Running %s %s", skopeoBinary, strings.Join(args, " "))
 	out, err := exec.Command(skopeoBinary, args...).CombinedOutput()
@@ -85,15 +83,25 @@ 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 c on failure.
+// and verifies that the exit status is 0, or terminates t on failure.
 func runCommandWithInput(t *testing.T, input string, name string, args ...string) {
 	cmd := exec.Command(name, args...)
 	runExecCmdWithInput(t, cmd, input)
 }
 
 // runExecCmdWithInput runs an exec.Cmd, sending it the input to stdin,
-// and verifies that the exit status is 0, or terminates c on failure.
+// and verifies that the exit status is 0, or terminates t on failure.
 func runExecCmdWithInput(t *testing.T, cmd *exec.Cmd, input string) {
 	t.Logf("Running %s %s", cmd.Path, strings.Join(cmd.Args, " "))
 	consumeAndLogOutputs(t, cmd.Path+" "+strings.Join(cmd.Args, " "), cmd)