diff --git a/lib/internal/crypto/hashnames.js b/lib/internal/crypto/hashnames.js
index 49729034facc7c..7af2091d84de39 100644
--- a/lib/internal/crypto/hashnames.js
+++ b/lib/internal/crypto/hashnames.js
@@ -2,7 +2,6 @@
 
 const {
   ObjectKeys,
-  StringPrototypeToLowerCase,
 } = primordials;
 
 const kHashContextNode = 1;
@@ -58,8 +57,7 @@ const kHashNames = {
   for (let n = 0; n < keys.length; n++) {
     const contexts = ObjectKeys(kHashNames[keys[n]]);
     for (let i = 0; i < contexts.length; i++) {
-      const alias =
-        StringPrototypeToLowerCase(kHashNames[keys[n]][contexts[i]]);
+      const alias = kHashNames[keys[n]][contexts[i]];
       if (kHashNames[alias] === undefined)
         kHashNames[alias] = kHashNames[keys[n]];
     }
@@ -67,13 +65,10 @@ const kHashNames = {
 }
 
 function normalizeHashName(name, context = kHashContextNode) {
-  if (typeof name !== 'string')
-    return name;
-  name = StringPrototypeToLowerCase(name);
-  const alias = kHashNames[name]?.[context];
-  return alias || name;
+  return kHashNames[name]?.[context];
 }
 
+
 normalizeHashName.kContextNode = kHashContextNode;
 normalizeHashName.kContextWebCrypto = kHashContextWebCrypto;
 normalizeHashName.kContextJwkRsa = kHashContextJwkRsa;
diff --git a/lib/internal/crypto/rsa.js b/lib/internal/crypto/rsa.js
index 74c8af7cf30e5b..a3ef89ed6f2e7e 100644
--- a/lib/internal/crypto/rsa.js
+++ b/lib/internal/crypto/rsa.js
@@ -275,9 +275,13 @@ function rsaImportKey(
       }
 
       if (keyData.alg !== undefined) {
-        const hash =
-          normalizeHashName(keyData.alg, normalizeHashName.kContextWebCrypto);
-        if (hash !== algorithm.hash.name)
+        const expected =
+          normalizeHashName(algorithm.hash.name,
+                            algorithm.name === 'RSASSA-PKCS1-v1_5' ? normalizeHashName.kContextJwkRsa :
+                              algorithm.name === 'RSA-PSS' ? normalizeHashName.kContextJwkRsaPss :
+                                normalizeHashName.kContextJwkRsaOaep);
+
+        if (keyData.alg !== expected)
           throw lazyDOMException(
             'JWK "alg" does not match the requested algorithm',
             'DataError');
diff --git a/test/parallel/test-webcrypto-export-import-rsa.js b/test/parallel/test-webcrypto-export-import-rsa.js
index 62734c69d5ed77..f1bdaeed4dee8e 100644
--- a/test/parallel/test-webcrypto-export-import-rsa.js
+++ b/test/parallel/test-webcrypto-export-import-rsa.js
@@ -384,6 +384,19 @@ async function testImportJwk(
 
   const jwk = keyData[size].jwk;
 
+  let alg;
+  switch (name) {
+    case 'RSA-PSS':
+      alg = `PS${hash === 'SHA-1' ? 1 : hash.substring(4)}`;
+      break;
+    case 'RSA-OAEP':
+      alg = `RSA-OAEP${hash === 'SHA-1' ? '' : hash.substring(3)}`;
+      break;
+    case 'RSASSA-PKCS1-v1_5':
+      alg = `RS${hash === 'SHA-1' ? 1 : hash.substring(4)}`;
+      break;
+  }
+
   const [
     publicKey,
     privateKey,
@@ -394,14 +407,14 @@ async function testImportJwk(
         kty: jwk.kty,
         n: jwk.n,
         e: jwk.e,
-        alg: `PS${hash.substring(4)}`
+        alg,
       },
       { name, hash },
       extractable,
       publicUsages),
     subtle.importKey(
       'jwk',
-      { ...jwk, alg: `PS${hash.substring(4)}` },
+      { ...jwk, alg },
       { name, hash },
       extractable,
       privateUsages),
@@ -435,6 +448,8 @@ async function testImportJwk(
 
     assert.strictEqual(pubJwk.kty, 'RSA');
     assert.strictEqual(pvtJwk.kty, 'RSA');
+    assert.strictEqual(pubJwk.alg, alg);
+    assert.strictEqual(pvtJwk.alg, alg);
     assert.strictEqual(pubJwk.n, jwk.n);
     assert.strictEqual(pvtJwk.n, jwk.n);
     assert.strictEqual(pubJwk.e, jwk.e);
@@ -483,22 +498,41 @@ async function testImportJwk(
   }
 
   {
-    let invalidAlg = name === 'RSA-OAEP' ? name : name === 'RSA-PSS' ? 'PS' : 'RS';
+    await assert.rejects(
+      subtle.importKey(
+        'jwk',
+        { kty: jwk.kty, n: jwk.n, e: jwk.e, alg: alg.toLowerCase() },
+        { name, hash },
+        extractable,
+        publicUsages),
+      { message: 'JWK "alg" does not match the requested algorithm' });
+    await assert.rejects(
+      subtle.importKey(
+        'jwk',
+        { ...jwk, alg: alg.toLowerCase() },
+        { name, hash },
+        extractable,
+        privateUsages),
+      { message: 'JWK "alg" does not match the requested algorithm' });
+  }
+
+  {
+    let invalidAlgHash = name === 'RSA-OAEP' ? name : name === 'RSA-PSS' ? 'PS' : 'RS';
     switch (name) {
       case 'RSA-OAEP':
         if (hash === 'SHA-1')
-          invalidAlg += '-256';
+          invalidAlgHash += '-256';
         break;
       default:
         if (hash === 'SHA-256')
-          invalidAlg += '384';
+          invalidAlgHash += '384';
         else
-          invalidAlg += '256';
+          invalidAlgHash += '256';
     }
     await assert.rejects(
       subtle.importKey(
         'jwk',
-        { kty: jwk.kty, n: jwk.n, e: jwk.e, alg: invalidAlg },
+        { kty: jwk.kty, n: jwk.n, e: jwk.e, alg: invalidAlgHash },
         { name, hash },
         extractable,
         publicUsages),
@@ -506,7 +540,29 @@ async function testImportJwk(
     await assert.rejects(
       subtle.importKey(
         'jwk',
-        { ...jwk, alg: invalidAlg },
+        { ...jwk, alg: invalidAlgHash },
+        { name, hash },
+        extractable,
+        privateUsages),
+      { message: 'JWK "alg" does not match the requested algorithm' });
+  }
+
+  {
+    const invalidAlgType = name === 'RSA-PSS' ? `RS${hash.substring(4)}` : `PS${hash.substring(4)}`;
+    await assert.rejects(
+      subtle.importKey(
+        'jwk',
+        { kty: jwk.kty, n: jwk.n, e: jwk.e, alg: invalidAlgType },
+        { name, hash },
+        extractable,
+        publicUsages),
+      { message: 'JWK "alg" does not match the requested algorithm' }).catch((e) => {
+      throw e;
+    });
+    await assert.rejects(
+      subtle.importKey(
+        'jwk',
+        { ...jwk, alg: invalidAlgType },
         { name, hash },
         extractable,
         privateUsages),