diff --git a/test/parallel/test-tls-set-sigalgs.js b/test/parallel/test-tls-set-sigalgs.js
index ffe950a0d21f86..3f3d152f4d877e 100644
--- a/test/parallel/test-tls-set-sigalgs.js
+++ b/test/parallel/test-tls-set-sigalgs.js
@@ -63,10 +63,12 @@ test('RSA-PSS+SHA256:RSA-PSS+SHA512:ECDSA+SHA256',
      ['RSA-PSS+SHA256', 'ECDSA+SHA256']);
 
 // Do not have shared sigalgs.
+const handshakeErr = common.hasOpenSSL(3, 2) ?
+  'ERR_SSL_SSL/TLS_ALERT_HANDSHAKE_FAILURE' : 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE';
 test('RSA-PSS+SHA384', 'ECDSA+SHA256',
-     undefined, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE',
+     undefined, handshakeErr,
      'ERR_SSL_NO_SHARED_SIGNATURE_ALGORITHMS');
 
 test('RSA-PSS+SHA384:ECDSA+SHA256', 'ECDSA+SHA384:RSA-PSS+SHA256',
-     undefined, 'ERR_SSL_SSLV3_ALERT_HANDSHAKE_FAILURE',
+     undefined, handshakeErr,
      'ERR_SSL_NO_SHARED_SIGNATURE_ALGORITHMS');