diff --git a/test/e2e/pull_chunked_test.go b/test/e2e/pull_chunked_test.go
index 1b198e852a..a99439f310 100644
--- a/test/e2e/pull_chunked_test.go
+++ b/test/e2e/pull_chunked_test.go
@@ -24,7 +24,15 @@ func pullChunkedTests() { // included in pull_test.go
 	if podmanTest.ImageCacheFS == "vfs" {
 		Skip("VFS does not support chunked pulls") // We could still test that we enforce DiffID correctness.
 	}
-	SkipIfRootless("(podman system reset) is required for this test")
+	if os.Getenv("CI_DESIRED_COMPOSEFS") != "" {
+		// With convert_images, we use the partial pulls for all layers, and do not exercise the full pull code path.
+		Skip("The composefs configuration (with convert_images = true) interferes with this test's image ID expectations")
+	}
+	SkipIfRemote("(podman system reset) is required for this test")
+	if isRootless() {
+		err := podmanTest.RestoreArtifact(REGISTRY_IMAGE)
+		Expect(err).ToNot(HaveOccurred())
+	}
 	lock := GetPortLock(pullChunkedRegistryPort)
 	defer lock.Unlock()