diff --git a/src/Component/KeyManagement/KeyConverter/KeyConverter.php b/src/Component/KeyManagement/KeyConverter/KeyConverter.php
index 96498b9e..c7b69e5d 100644
--- a/src/Component/KeyManagement/KeyConverter/KeyConverter.php
+++ b/src/Component/KeyManagement/KeyConverter/KeyConverter.php
@@ -252,12 +252,14 @@ private static function tryToLoadOtherKeyTypes(string $input): array
     private static function populatePoints(PrivateKey $key, array $values): array
     {
         $x = self::getPublicKey($key, $values['crv']);
-        $values['x'] = Base64UrlSafe::encodeUnpadded($x);
+        if ($x !== null) {
+            $values['x'] = Base64UrlSafe::encodeUnpadded($x);
+        }
 
         return $values;
     }
 
-    private static function getPublicKey(PrivateKey $key, string $crv): string
+    private static function getPublicKey(PrivateKey $key, string $crv): ?string
     {
         switch ($crv) {
             case 'Ed25519':
@@ -268,7 +270,7 @@ private static function getPublicKey(PrivateKey $key, string $crv): string
                 }
                 // no break
             default:
-                throw new InvalidArgumentException('Unsupported key type');
+                return null;
         }
     }
 
diff --git a/src/SignatureAlgorithm/EdDSA/composer.json b/src/SignatureAlgorithm/EdDSA/composer.json
index a5595bc5..b1223f9d 100644
--- a/src/SignatureAlgorithm/EdDSA/composer.json
+++ b/src/SignatureAlgorithm/EdDSA/composer.json
@@ -40,6 +40,7 @@
     "require": {
         "php": ">=8.1",
         "ext-sodium": "*",
+        "paragonie/sodium_compat": "^1.20",
         "web-token/jwt-signature": "^3.2"
     }
 }
diff --git a/tests/Component/KeyManagement/JWKFactoryTest.php b/tests/Component/KeyManagement/JWKFactoryTest.php
index 4f83ab07..c777b503 100644
--- a/tests/Component/KeyManagement/JWKFactoryTest.php
+++ b/tests/Component/KeyManagement/JWKFactoryTest.php
@@ -297,7 +297,7 @@ public static function dataKeys(): iterable
                 'kty' => 'OKP',
                 'crv' => 'Ed25519',
                 'd' => 'Pr9AxZivB-zSq95wLrZfYa7DQ3TUPqZTkP_0w33r3rc',
-                'x' => 'uRhai1TsvrSB43HD-36TQ2hMQfV8ruJz7F8o0wIe1VI',
+                'x' => 'wrI33AEj15KHHYplueUE5cnJKtbM8oVHFf6wGnw2oOE',
             ],
         ];
         yield [