diff --git a/test/e2e/profiles/oidc/.kratos.yml b/test/e2e/profiles/oidc/.kratos.yml
index ed8cd9916971..b02a84cd3c73 100644
--- a/test/e2e/profiles/oidc/.kratos.yml
+++ b/test/e2e/profiles/oidc/.kratos.yml
@@ -8,10 +8,10 @@ selfservice:
             provider: generic
             client_id: kratos-client
             client_secret: kratos-secret
-            schema_url: file://test/e2e/profiles/oidc/hydra.schema.json
             issuer_url: http://127.0.0.1:4444/
             scope:
               - offline
+            mapper_url: file://test/e2e/profiles/oidc/hydra.jsonnet
 
     password:
       enabled: true
diff --git a/test/e2e/profiles/oidc/hydra.jsonnet b/test/e2e/profiles/oidc/hydra.jsonnet
new file mode 100644
index 000000000000..fb11ebabe94e
--- /dev/null
+++ b/test/e2e/profiles/oidc/hydra.jsonnet
@@ -0,0 +1,13 @@
+local claims = std.extVar('claims');
+
+if std.length(claims.sub) == 0 then
+  error 'claim sub not set'
+else
+  {
+    identity: {
+      traits: {
+        email: claims.sub,
+        [if "website" in claims then "website" else null]: claims.website,
+      },
+    },
+  }
diff --git a/test/e2e/profiles/oidc/hydra.schema.json b/test/e2e/profiles/oidc/hydra.schema.json
deleted file mode 100644
index 22e2f1961e27..000000000000
--- a/test/e2e/profiles/oidc/hydra.schema.json
+++ /dev/null
@@ -1,38 +0,0 @@
-{
-  "$id": "http://mydomain.com/github.schema.json ",
-  "$schema": "http://json-schema.org/draft-07/schema#",
-  "type": "object",
-  "properties": {
-    "sub": {
-      "type": "string",
-      "ory.sh/kratos": {
-        "mappings": {
-          "identity": {
-            "traits": [
-              {
-                "path": "email"
-              }
-            ]
-          }
-        }
-      }
-    },
-    "website": {
-      "type": "string",
-      "ory.sh/kratos": {
-        "mappings": {
-          "identity": {
-            "traits": [
-              {
-                "path": "website"
-              }
-            ]
-          }
-        }
-      }
-    }
-  },
-  "required": [
-    "sub"
-  ]
-}