diff --git a/package.json b/package.json
index e1387a4881b48..30179b16c05b3 100644
--- a/package.json
+++ b/package.json
@@ -62,12 +62,16 @@
       "@aws-cdk/cloud-assembly-schema/semver/**",
       "@aws-cdk/cloudformation-include/yaml",
       "@aws-cdk/cloudformation-include/yaml/**",
+      "@aws-cdk/core/fs-extra",
+      "@aws-cdk/core/fs-extra/**",
       "@aws-cdk/core/minimatch",
       "@aws-cdk/core/minimatch/**",
       "@aws-cdk/cx-api/semver",
       "@aws-cdk/cx-api/semver/**",
       "monocdk-experiment/case",
       "monocdk-experiment/case/**",
+      "monocdk-experiment/fs-extra",
+      "monocdk-experiment/fs-extra/**",
       "monocdk-experiment/jsonschema",
       "monocdk-experiment/jsonschema/**",
       "monocdk-experiment/minimatch",
diff --git a/packages/@aws-cdk/core/lib/asset-staging.ts b/packages/@aws-cdk/core/lib/asset-staging.ts
index 460d89d70133b..e25994beeb821 100644
--- a/packages/@aws-cdk/core/lib/asset-staging.ts
+++ b/packages/@aws-cdk/core/lib/asset-staging.ts
@@ -1,6 +1,6 @@
 import * as cxapi from '@aws-cdk/cx-api';
 import * as crypto from 'crypto';
-import * as fs from 'fs';
+import * as fs from 'fs-extra';
 import * as os from 'os';
 import * as path from 'path';
 import { AssetHashType, AssetOptions } from './assets';
@@ -8,6 +8,8 @@ import { BundlingOptions } from './bundling';
 import { Construct, ISynthesisSession } from './construct-compat';
 import { FileSystem, FingerprintOptions } from './fs';
 
+const STAGING_TMP = '.cdk.staging';
+
 /**
  * Initialization properties for `AssetStaging`.
  */
@@ -118,22 +120,9 @@ export class AssetStaging extends Construct {
 
     // Asset has been bundled
     if (this.bundleDir) {
-      // Try to rename bundling directory to staging directory
-      try {
-        fs.renameSync(this.bundleDir, targetPath);
-        return;
-      } catch (err) {
-        // /tmp and cdk.out could be mounted across different mount points
-        // in this case we will fallback to copying. This can happen in Windows
-        // Subsystem for Linux (WSL).
-        if (err.code === 'EXDEV') {
-          fs.mkdirSync(targetPath);
-          FileSystem.copyDirectory(this.bundleDir, targetPath, this.fingerprintOptions);
-          return;
-        }
-
-        throw err;
-      }
+      // Move bundling directory to staging directory
+      fs.moveSync(this.bundleDir, targetPath);
+      return;
     }
 
     // Copy file/directory to staging directory
@@ -149,8 +138,12 @@ export class AssetStaging extends Construct {
   }
 
   private bundle(options: BundlingOptions): string {
-    // Create temporary directory for bundling
-    const bundleDir = FileSystem.mkdtemp('cdk-asset-bundle-');
+    // Temp staging directory in the working directory
+    const stagingTmp = path.join('.', STAGING_TMP);
+    fs.ensureDirSync(stagingTmp);
+
+    // Create temp directory for bundling inside the temp staging directory
+    const bundleDir = path.resolve(fs.mkdtempSync(path.join(stagingTmp, 'asset-bundle-')));
 
     let user: string;
     if (options.user) {
diff --git a/packages/@aws-cdk/core/package.json b/packages/@aws-cdk/core/package.json
index a81128bfc2702..0c99c177e2027 100644
--- a/packages/@aws-cdk/core/package.json
+++ b/packages/@aws-cdk/core/package.json
@@ -166,6 +166,7 @@
     "ts-mock-imports": "^1.3.0"
   },
   "dependencies": {
+    "fs-extra": "^9.0.1",
     "minimatch": "^3.0.4",
     "@aws-cdk/cx-api": "0.0.0",
     "@aws-cdk/cdk-assets-schema": "0.0.0",
@@ -173,6 +174,7 @@
     "constructs": "^3.0.2"
   },
   "bundledDependencies": [
+    "fs-extra",
     "minimatch"
   ],
   "homepage": "https://github.com/aws/aws-cdk",
diff --git a/packages/@aws-cdk/core/test/test.staging.ts b/packages/@aws-cdk/core/test/test.staging.ts
index 08e20fa0fbad0..81766f8a34879 100644
--- a/packages/@aws-cdk/core/test/test.staging.ts
+++ b/packages/@aws-cdk/core/test/test.staging.ts
@@ -1,8 +1,9 @@
 import * as cxapi from '@aws-cdk/cx-api';
-import * as fs from 'fs';
+import * as fs from 'fs-extra';
 import { Test } from 'nodeunit';
 import * as os from 'os';
 import * as path from 'path';
+import * as sinon from 'sinon';
 import { App, AssetHashType, AssetStaging, BundlingDockerImage, Stack } from '../lib';
 
 const STUB_INPUT_FILE = '/tmp/docker-stub.input';
@@ -26,6 +27,7 @@ export = {
       fs.unlinkSync(STUB_INPUT_FILE);
     }
     cb();
+    sinon.restore();
   },
 
   'base case'(test: Test) {
@@ -103,6 +105,8 @@ export = {
     const app = new App();
     const stack = new Stack(app, 'stack');
     const directory = path.join(__dirname, 'fs', 'fixtures', 'test1');
+    const ensureDirSyncSpy = sinon.spy(fs, 'ensureDirSync');
+    const mkdtempSyncSpy = sinon.spy(fs, 'mkdtempSync');
 
     // WHEN
     new AssetStaging(stack, 'Asset', {
@@ -127,6 +131,11 @@ export = {
       'tree.json',
     ]);
 
+    // asset is bundled in a directory inside .cdk.staging
+    const stagingTmp = path.join('.', '.cdk.staging');
+    test.ok(ensureDirSyncSpy.calledWith(stagingTmp));
+    test.ok(mkdtempSyncSpy.calledWith(sinon.match(path.join(stagingTmp, 'asset-bundle-'))));
+
     test.done();
   },
 
diff --git a/packages/monocdk-experiment/package.json b/packages/monocdk-experiment/package.json
index 22848a6122c0a..10e68d49cb898 100644
--- a/packages/monocdk-experiment/package.json
+++ b/packages/monocdk-experiment/package.json
@@ -81,6 +81,7 @@
   "license": "Apache-2.0",
   "bundledDependencies": [
     "case",
+    "fs-extra",
     "jsonschema",
     "minimatch",
     "semver",
@@ -89,6 +90,7 @@
   "dependencies": {
     "case": "1.6.3",
     "constructs": "^3.0.2",
+    "fs-extra": "^9.0.1",
     "jsonschema": "^1.2.5",
     "minimatch": "^3.0.4",
     "semver": "^7.2.2",