diff --git a/test/parallel/test-tls-set-ciphers.js b/test/parallel/test-tls-set-ciphers.js
index b66c419cf5f4d1..268a2af6344b59 100644
--- a/test/parallel/test-tls-set-ciphers.js
+++ b/test/parallel/test-tls-set-ciphers.js
@@ -79,6 +79,11 @@ function test(cciphers, sciphers, cipher, cerr, serr, options) {
 
 const U = undefined;
 
+let expectedTLSAlertError = 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE';
+if (common.hasOpenSSL(3, 2)) {
+  expectedTLSAlertError = 'ERR_SSL_SSL/TLS_ALERT_HANDSHAKE_FAILURE';
+}
+
 // Have shared ciphers.
 test(U, 'AES256-SHA', 'AES256-SHA');
 test('AES256-SHA', U, 'AES256-SHA');
@@ -88,13 +93,13 @@ test('TLS_AES_256_GCM_SHA384', U, 'TLS_AES_256_GCM_SHA384');
 
 // Do not have shared ciphers.
 test('TLS_AES_256_GCM_SHA384', 'TLS_CHACHA20_POLY1305_SHA256',
-     U, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE', 'ERR_SSL_NO_SHARED_CIPHER');
+     U, expectedTLSAlertError, 'ERR_SSL_NO_SHARED_CIPHER');
 
-test('AES128-SHA', 'AES256-SHA', U, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE',
+test('AES256-SHA', 'AES256-SHA256', U, expectedTLSAlertError,
      'ERR_SSL_NO_SHARED_CIPHER');
-test('AES128-SHA:TLS_AES_256_GCM_SHA384',
-     'TLS_CHACHA20_POLY1305_SHA256:AES256-SHA',
-     U, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE', 'ERR_SSL_NO_SHARED_CIPHER');
+test('AES256-SHA:TLS_AES_256_GCM_SHA384',
+     'TLS_CHACHA20_POLY1305_SHA256:AES256-SHA256',
+     U, expectedTLSAlertError, 'ERR_SSL_NO_SHARED_CIPHER');
 
 // Cipher order ignored, TLS1.3 chosen before TLS1.2.
 test('AES256-SHA:TLS_AES_256_GCM_SHA384', U, 'TLS_AES_256_GCM_SHA384');
@@ -109,11 +114,15 @@ test(U, 'AES256-SHA', 'TLS_AES_256_GCM_SHA384', U, U, { maxVersion: 'TLSv1.3' })
 
 // TLS_AES_128_CCM_8_SHA256 & TLS_AES_128_CCM_SHA256 are not enabled by
 // default, but work.
-test('TLS_AES_128_CCM_8_SHA256', U,
-     U, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE', 'ERR_SSL_NO_SHARED_CIPHER');
-
-test('TLS_AES_128_CCM_8_SHA256', 'TLS_AES_128_CCM_8_SHA256',
-     'TLS_AES_128_CCM_8_SHA256');
+// However, for OpenSSL32 AES_128 is not enabled due to the
+// default security level
+if (!common.hasOpenSSL(3, 2)) {
+  test('TLS_AES_128_CCM_8_SHA256', U,
+       U, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE', 'ERR_SSL_NO_SHARED_CIPHER');
+
+  test('TLS_AES_128_CCM_8_SHA256', 'TLS_AES_128_CCM_8_SHA256',
+       'TLS_AES_128_CCM_8_SHA256');
+}
 
 // Invalid cipher values
 test(9, 'AES256-SHA', U, 'ERR_INVALID_ARG_TYPE', U);