diff --git a/.changeset/pre.json b/.changeset/pre.json
index 7b2a6d7c1..6ee445dcc 100644
--- a/.changeset/pre.json
+++ b/.changeset/pre.json
@@ -20,6 +20,7 @@
   "changesets": [
     "clever-panthers-lay",
     "fifty-balloons-taste",
+    "good-feet-own",
     "green-geese-train",
     "grumpy-clocks-refuse",
     "lovely-rivers-sniff",
diff --git a/packages/cli/package.json b/packages/cli/package.json
index b03639427..ac71c1f25 100644
--- a/packages/cli/package.json
+++ b/packages/cli/package.json
@@ -87,7 +87,10 @@
   "eslintConfig": {
     "extends": "@silverhand",
     "rules": {
-      "complexity": ["error", 11]
+      "complexity": [
+        "error",
+        11
+      ]
     },
     "ignorePatterns": [
       "src/package-json.ts"
diff --git a/packages/core/src/utils/connectors/loader.ts b/packages/core/src/utils/connectors/loader.ts
index 8064f8048..5301c688d 100644
--- a/packages/core/src/utils/connectors/loader.ts
+++ b/packages/core/src/utils/connectors/loader.ts
@@ -5,6 +5,8 @@ import connectorKitMeta from '@logto/connector-kit/package.json' assert { type:
 import { isKeyInObject } from '@logto/shared';
 import { satisfies } from 'semver';
 
+import { EnvSet } from '#src/env-set/index.js';
+
 const connectorKit = '@logto/connector-kit';
 const { version: currentVersion } = connectorKitMeta;
 
@@ -17,9 +19,15 @@ const checkConnectorKitVersion = (dependencies: unknown) => {
         return;
       }
 
-      throw new Error(
-        `Connector requires ${connectorKit} to be ${value}, but the version here is ${currentVersion}.`
-      );
+      const message = `Connector requires ${connectorKit} to be ${value}, but the version here is ${currentVersion}.`;
+
+      if (EnvSet.values.isIntegrationTest) {
+        console.warn(`[warn] ${message}\n\nThis will result an error in production.`);
+
+        return;
+      }
+
+      throw new Error(message);
     }
   }
 
diff --git a/packages/toolkit/connector-kit/CHANGELOG.md b/packages/toolkit/connector-kit/CHANGELOG.md
index 40bcdb9ec..05ca0c08b 100644
--- a/packages/toolkit/connector-kit/CHANGELOG.md
+++ b/packages/toolkit/connector-kit/CHANGELOG.md
@@ -1,5 +1,11 @@
 # Change Log
 
+## 1.0.0-beta.33
+
+### Patch Changes
+
+- 69af8a38: 1. Add `connectorId`, `connectorFactoryId` and `jti` to `GetAuthorizationUri`. 2. Make `ConnectorSession` compatible for arbitrary keys.
+
 ## 1.0.0-beta.32
 
 ### Minor Changes
diff --git a/packages/toolkit/connector-kit/package.json b/packages/toolkit/connector-kit/package.json
index a233a3c30..ede9aa164 100644
--- a/packages/toolkit/connector-kit/package.json
+++ b/packages/toolkit/connector-kit/package.json
@@ -1,6 +1,6 @@
 {
   "name": "@logto/connector-kit",
-  "version": "1.0.0-beta.32",
+  "version": "1.0.0-beta.33",
   "author": "Silverhand Inc. <contact@silverhand.io>",
   "homepage": "https://github.com/logto-io/toolkit#readme",
   "repository": {