diff --git a/test/parallel/test-tls-dhe.js b/test/parallel/test-tls-dhe.js
index 46779b09ff6b8f..21739ce42428eb 100644
--- a/test/parallel/test-tls-dhe.js
+++ b/test/parallel/test-tls-dhe.js
@@ -43,9 +43,12 @@ const dheCipher = 'DHE-RSA-AES128-SHA256';
 const ecdheCipher = 'ECDHE-RSA-AES128-SHA256';
 const ciphers = `${dheCipher}:${ecdheCipher}`;
 
-// Test will emit a warning because the DH parameter size is < 2048 bits
-common.expectWarning('SecurityWarning',
-                     'DH parameter is less than 2048 bits');
+if (!common.hasOpenSSL(3, 2)) {
+  // Test will emit a warning because the DH parameter size is < 2048 bits
+  // when the test is run on versions lower than OpenSSL32
+  common.expectWarning('SecurityWarning',
+                       'DH parameter is less than 2048 bits');
+}
 
 function loadDHParam(n) {
   const keyname = `dh${n}.pem`;
@@ -104,7 +107,11 @@ function testCustomParam(keylen, expectedCipher) {
   }, /DH parameter is less than 1024 bits/);
 
   // Custom DHE parameters are supported (but discouraged).
-  await testCustomParam(1024, dheCipher);
+  if (!common.hasOpenSSL(3, 2)) {
+    await testCustomParam(1024, dheCipher);
+  } else {
+    await testCustomParam(3072, dheCipher);
+  }
   await testCustomParam(2048, dheCipher);
 
   // Invalid DHE parameters are discarded. ECDHE remains enabled.