diff --git a/lib/jwk/key/rsa.js b/lib/jwk/key/rsa.js
index 42d53c90ef..79e510aab5 100644
--- a/lib/jwk/key/rsa.js
+++ b/lib/jwk/key/rsa.js
@@ -6,14 +6,6 @@ const { THUMBPRINT_MATERIAL, PUBLIC_MEMBERS, PRIVATE_MEMBERS, JWK_MEMBERS } = re
 const Key = require('./base')
 
 const generateKeyPair = promisify(async)
-const SIG_ALGS = new Set([
-  'PS256',
-  'RS256',
-  'PS384',
-  'RS384',
-  'PS512',
-  'RS512'
-])
 
 const WRAP_ALGS = new Set([
   'RSA-OAEP',
@@ -25,6 +17,31 @@ Object.freeze(RSA_PUBLIC)
 const RSA_PRIVATE = new Set([...RSA_PUBLIC, 'd', 'p', 'q', 'dp', 'dq', 'qi'])
 Object.freeze(RSA_PRIVATE)
 
+const sigAlgsAvailableFor = (length) => {
+  switch (true) {
+    case length >= 1040:
+      return new Set(['PS256', 'RS256', 'PS384', 'RS384', 'PS512', 'RS512'])
+    case length >= 784:
+      return new Set(['PS256', 'RS256', 'PS384', 'RS384', 'RS512'])
+    case length >= 752:
+      return new Set(['PS256', 'RS256', 'RS384', 'RS512'])
+    case length >= 624:
+      return new Set(['PS256', 'RS256', 'RS384'])
+    case length >= 528:
+      return new Set(['PS256', 'RS256'])
+    default:
+      return new Set(['RS256'])
+  }
+}
+
+const wrapAlgsAvailableFor = (length) => {
+  if (length >= 592) {
+    return new Set(WRAP_ALGS)
+  }
+
+  return new Set(['RSA1_5'])
+}
+
 // RSA Key Type
 class RSAKey extends Key {
   constructor (...args) {
@@ -62,10 +79,6 @@ class RSAKey extends Key {
   }
 
   algorithms (operation, { use = this.use, alg = this.alg } = {}) {
-    if (this.length < 2048) {
-      return new Set()
-    }
-
     if (alg) {
       return new Set(this.algorithms(operation, { alg: null, use }).has(alg) ? [alg] : undefined)
     }
@@ -79,25 +92,25 @@ class RSAKey extends Key {
           return new Set()
         }
 
-        return new Set(SIG_ALGS)
+        return sigAlgsAvailableFor(this.length)
       case 'verify':
         if (use === 'enc') {
           return new Set()
         }
 
-        return new Set(SIG_ALGS)
+        return sigAlgsAvailableFor(this.length)
       case 'wrapKey':
         if (use === 'sig') {
           return new Set()
         }
 
-        return new Set(WRAP_ALGS)
+        return wrapAlgsAvailableFor(this.length)
       case 'unwrapKey':
         if (this.public || use === 'sig') {
           return new Set()
         }
 
-        return new Set(WRAP_ALGS)
+        return wrapAlgsAvailableFor(this.length)
       case undefined:
         // just the ops needed to return all algs regardless of its use
         return new Set([
@@ -110,7 +123,7 @@ class RSAKey extends Key {
   }
 
   static async generate (len = 2048, opts, privat = true) {
-    if (!Number.isSafeInteger(len) || len < 2048 || len % 8 !== 0) {
+    if (!Number.isSafeInteger(len) || len < 512 || len % 8 !== 0) {
       throw new TypeError('invalid bit length')
     }
 
@@ -120,7 +133,7 @@ class RSAKey extends Key {
   }
 
   static generateSync (len = 2048, opts, privat = true) {
-    if (!Number.isSafeInteger(len) || len < 2048 || len % 8 !== 0) {
+    if (!Number.isSafeInteger(len) || len < 512 || len % 8 !== 0) {
       throw new TypeError('invalid bit length')
     }
 
diff --git a/test/jwk/rsa.test.js b/test/jwk/rsa.test.js
index 0a074f5e48..29b2ca556c 100644
--- a/test/jwk/rsa.test.js
+++ b/test/jwk/rsa.test.js
@@ -34,14 +34,6 @@ test(`RSA key .algorithms invalid operation`, t => {
     t.deepEqual([...result], ['PS256', 'RS256', 'PS384', 'RS384', 'PS512', 'RS512', 'RSA-OAEP', 'RSA1_5'])
   })
 
-  test('RSA < 2048 bits does not support any algorithms', t => {
-    const keyObject = createPublicKey(fixtures.RSA_512)
-    const key = new RSAKey(keyObject)
-    const result = key.algorithms()
-    t.is(result.constructor, Set)
-    t.deepEqual([...result], [])
-  })
-
   test('RSA Private key algorithms (no operation, w/ alg)', t => {
     const key = new RSAKey(keyObject, { alg: 'RS256' })
     const result = key.algorithms()
@@ -257,4 +249,41 @@ test(`RSA key .algorithms invalid operation`, t => {
     t.is(result.constructor, Set)
     t.deepEqual([...result], [])
   })
+
+  test('any RSA key can do RS256 and RSA1_5', t => {
+    const k = RSAKey.generateSync(512)
+    const result = k.algorithms()
+    t.is(result.constructor, Set)
+    t.deepEqual([...result], ['RS256', 'RSA1_5'])
+  })
+
+  test('RSA key >= 528 bits can do PS256', t => {
+    const k = RSAKey.generateSync(528)
+    t.true(k.algorithms().has('PS256'))
+  })
+
+  test('RSA key >= 592 bits can do RSA-OAEP', t => {
+    const k = RSAKey.generateSync(592)
+    t.true(k.algorithms().has('RSA-OAEP'))
+  })
+
+  test('RSA key >= 624 bits can do RS384', t => {
+    const k = RSAKey.generateSync(624)
+    t.true(k.algorithms().has('RS384'))
+  })
+
+  test('RSA key >= 752 bits can do RS512', t => {
+    const k = RSAKey.generateSync(752)
+    t.true(k.algorithms().has('RS512'))
+  })
+
+  test('RSA key >= 784 bits can do PS384', t => {
+    const k = RSAKey.generateSync(784)
+    t.true(k.algorithms().has('PS384'))
+  })
+
+  test('RSA key >= 1040 bits can do PS512', t => {
+    const k = RSAKey.generateSync(1040)
+    t.true(k.algorithms().has('PS512'))
+  })
 })()