diff --git a/test/parallel/test-crypto-hash.js b/test/parallel/test-crypto-hash.js
index 83218c105a4596..ca8f630b4bb7e7 100644
--- a/test/parallel/test-crypto-hash.js
+++ b/test/parallel/test-crypto-hash.js
@@ -7,6 +7,7 @@ const assert = require('assert');
 const crypto = require('crypto');
 const fs = require('fs');
 
+const { hasOpenSSL } = common;
 const fixtures = require('../common/fixtures');
 
 let cryptoType;
@@ -182,19 +183,21 @@ assert.throws(
 
 // Test XOF hash functions and the outputLength option.
 {
-  // Default outputLengths.
-  assert.strictEqual(crypto.createHash('shake128').digest('hex'),
-                     '7f9c2ba4e88f827d616045507605853e');
-  assert.strictEqual(crypto.createHash('shake128', null).digest('hex'),
-                     '7f9c2ba4e88f827d616045507605853e');
-  assert.strictEqual(crypto.createHash('shake256').digest('hex'),
-                     '46b9dd2b0ba88d13233b3feb743eeb24' +
-                     '3fcd52ea62b81b82b50c27646ed5762f');
-  assert.strictEqual(crypto.createHash('shake256', { outputLength: 0 })
-                           .copy()  // Default outputLength.
-                           .digest('hex'),
-                     '46b9dd2b0ba88d13233b3feb743eeb24' +
-                     '3fcd52ea62b81b82b50c27646ed5762f');
+  // Default outputLengths. Since OpenSSL 3.4 an outputLength is mandatory
+  if (!hasOpenSSL(3, 4)) {
+    assert.strictEqual(crypto.createHash('shake128').digest('hex'),
+                       '7f9c2ba4e88f827d616045507605853e');
+    assert.strictEqual(crypto.createHash('shake128', null).digest('hex'),
+                       '7f9c2ba4e88f827d616045507605853e');
+    assert.strictEqual(crypto.createHash('shake256').digest('hex'),
+                       '46b9dd2b0ba88d13233b3feb743eeb24' +
+                       '3fcd52ea62b81b82b50c27646ed5762f');
+    assert.strictEqual(crypto.createHash('shake256', { outputLength: 0 })
+                             .copy()  // Default outputLength.
+                             .digest('hex'),
+                       '46b9dd2b0ba88d13233b3feb743eeb24' +
+                       '3fcd52ea62b81b82b50c27646ed5762f');
+  }
 
   // Short outputLengths.
   assert.strictEqual(crypto.createHash('shake128', { outputLength: 0 })
diff --git a/test/parallel/test-crypto-oneshot-hash.js b/test/parallel/test-crypto-oneshot-hash.js
index 56b4c04a65a1c1..69051c43d9e882 100644
--- a/test/parallel/test-crypto-oneshot-hash.js
+++ b/test/parallel/test-crypto-oneshot-hash.js
@@ -31,6 +31,9 @@ const methods = crypto.getHashes();
 const input = fs.readFileSync(fixtures.path('utf8_test_text.txt'));
 
 for (const method of methods) {
+  // Skip failing tests on OpenSSL 3.4.0
+  if (method.startsWith('shake') && common.hasOpenSSL(3, 4))
+    continue;
   for (const outputEncoding of ['buffer', 'hex', 'base64', undefined]) {
     const oldDigest = crypto.createHash(method).update(input).digest(outputEncoding || 'hex');
     const digestFromBuffer = crypto.hash(method, input, outputEncoding);