diff --git a/test/e2e/push_test.go b/test/e2e/push_test.go
index 0489c4f091..0837b94aad 100644
--- a/test/e2e/push_test.go
+++ b/test/e2e/push_test.go
@@ -175,7 +175,9 @@ var _ = Describe("Podman push", func() {
 		Expect(err).ToNot(HaveOccurred())
 
 		if !IsRemote() { // Remote does not support --encryption-key
-			push = podmanTest.Podman([]string{"push", "-q", "--encryption-key", "jwe:" + publicKeyFileName, "--tls-verify=false", "--remove-signatures", ALPINE, "localhost:5003/my-alpine"})
+			// Explicitly specify compression-format because encryption and zstd:chunked together triggers a warning:
+			//	Compression using zstd:chunked is not beneficial for encrypted layers, using plain zstd instead
+			push = podmanTest.Podman([]string{"push", "-q", "--encryption-key", "jwe:" + publicKeyFileName, "--tls-verify=false", "--remove-signatures", "--compression-format=zstd", ALPINE, "localhost:5003/my-alpine"})
 			push.WaitWithDefaultTimeout()
 			Expect(push).Should(ExitCleanly())
 		}
@@ -352,7 +354,9 @@ var _ = Describe("Podman push", func() {
 		publicKeyFileName, _, err := WriteRSAKeyPair(keyFileName, bitSize)
 		Expect(err).ToNot(HaveOccurred())
 
-		session := podmanTest.Podman([]string{"push", "-q", "--encryption-key", "jwe:" + publicKeyFileName, ALPINE, fmt.Sprintf("oci:%s", bbdir)})
+		// Explicitly specify compression-format because encryption and zstd:chunked together triggers a warning:
+		//	Compression using zstd:chunked is not beneficial for encrypted layers, using plain zstd instead
+		session := podmanTest.Podman([]string{"push", "-q", "--encryption-key", "jwe:" + publicKeyFileName, "--compression-format=zstd", ALPINE, fmt.Sprintf("oci:%s", bbdir)})
 		session.WaitWithDefaultTimeout()
 		Expect(session).Should(ExitCleanly())