diff --git a/packages/@aws-cdk/aws-lambda-nodejs/lib/function.ts b/packages/@aws-cdk/aws-lambda-nodejs/lib/function.ts
index 0bb00a2c35e5c..171df8ccbf385 100644
--- a/packages/@aws-cdk/aws-lambda-nodejs/lib/function.ts
+++ b/packages/@aws-cdk/aws-lambda-nodejs/lib/function.ts
@@ -5,7 +5,7 @@ import { Architecture } from '@aws-cdk/aws-lambda';
 import { Bundling } from './bundling';
 import { PackageManager } from './package-manager';
 import { BundlingOptions } from './types';
-import { callsites, findUp } from './util';
+import { callsites, findUpMultiple } from './util';
 
 // keep this import separate from other imports to reduce chance for merge conflicts with v2-main
 // eslint-disable-next-line no-duplicate-imports, import/order
@@ -137,15 +137,20 @@ function findLockFile(depsLockFilePath?: string): string {
     return path.resolve(depsLockFilePath);
   }
 
-  const lockFile = findUp(PackageManager.PNPM.lockFile)
-    ?? findUp(PackageManager.YARN.lockFile)
-    ?? findUp(PackageManager.NPM.lockFile);
+  const lockFiles = findUpMultiple([
+    PackageManager.PNPM.lockFile,
+    PackageManager.YARN.lockFile,
+    PackageManager.NPM.lockFile,
+  ]);
 
-  if (!lockFile) {
+  if (lockFiles.length === 0) {
     throw new Error('Cannot find a package lock file (`pnpm-lock.yaml`, `yarn.lock` or `package-lock.json`). Please specify it with `depsFileLockPath`.');
   }
+  if (lockFiles.length > 1) {
+    throw new Error(`Multiple package lock files found: ${lockFiles.join(', ')}. Please specify the desired one with \`depsFileLockPath\`.`);
+  }
 
-  return lockFile;
+  return lockFiles[0];
 }
 
 /**
diff --git a/packages/@aws-cdk/aws-lambda-nodejs/lib/util.ts b/packages/@aws-cdk/aws-lambda-nodejs/lib/util.ts
index bc754185cf7a6..0ececb74ab95f 100644
--- a/packages/@aws-cdk/aws-lambda-nodejs/lib/util.ts
+++ b/packages/@aws-cdk/aws-lambda-nodejs/lib/util.ts
@@ -35,19 +35,34 @@ export function callsites(): CallSite[] {
  * Find a file by walking up parent directories
  */
 export function findUp(name: string, directory: string = process.cwd()): string | undefined {
+  return findUpMultiple([name], directory)[0];
+}
+
+/**
+ * Find the lowest of multiple files by walking up parent directories. If
+ * multiple files exist at the same level, they will all be returned.
+ */
+export function findUpMultiple(names: string[], directory: string = process.cwd()): string[] {
   const absoluteDirectory = path.resolve(directory);
 
-  const file = path.join(directory, name);
-  if (fs.existsSync(file)) {
-    return file;
+  const files = [];
+  for (const name of names) {
+    const file = path.join(directory, name);
+    if (fs.existsSync(file)) {
+      files.push(file);
+    }
+  }
+
+  if (files.length > 0) {
+    return files;
   }
 
   const { root } = path.parse(absoluteDirectory);
   if (absoluteDirectory === root) {
-    return undefined;
+    return [];
   }
 
-  return findUp(name, path.dirname(absoluteDirectory));
+  return findUpMultiple(names, path.dirname(absoluteDirectory));
 }
 
 /**
diff --git a/packages/@aws-cdk/aws-lambda-nodejs/test/util.test.ts b/packages/@aws-cdk/aws-lambda-nodejs/test/util.test.ts
index ea68bbffa156b..d2249f4f59118 100644
--- a/packages/@aws-cdk/aws-lambda-nodejs/test/util.test.ts
+++ b/packages/@aws-cdk/aws-lambda-nodejs/test/util.test.ts
@@ -1,7 +1,7 @@
 import * as child_process from 'child_process';
 import * as fs from 'fs';
 import * as path from 'path';
-import { callsites, exec, extractDependencies, findUp } from '../lib/util';
+import { callsites, exec, extractDependencies, findUp, findUpMultiple } from '../lib/util';
 
 beforeEach(() => {
   jest.clearAllMocks();
@@ -33,6 +33,49 @@ describe('findUp', () => {
   });
 });
 
+describe('findUpMultiple', () => {
+  test('Starting at process.cwd()', () => {
+    const files = findUpMultiple(['README.md', 'package.json']);
+    expect(files).toHaveLength(2);
+    expect(files[0]).toMatch(/aws-lambda-nodejs\/README\.md$/);
+    expect(files[1]).toMatch(/aws-lambda-nodejs\/package\.json$/);
+  });
+
+  test('Non existing files', () => {
+    expect(findUpMultiple(['non-existing-file.unknown', 'non-existing-file.unknown2'])).toEqual([]);
+  });
+
+  test('Existing and non existing files', () => {
+    const files = findUpMultiple(['non-existing-file.unknown', 'README.md']);
+    expect(files).toHaveLength(1);
+    expect(files[0]).toMatch(/aws-lambda-nodejs\/README\.md$/);
+  });
+
+  test('Starting at a specific path', () => {
+    const files = findUpMultiple(['util.test.ts', 'function.test.ts'], path.join(__dirname, 'integ-handlers'));
+    expect(files).toHaveLength(2);
+    expect(files[0]).toMatch(/aws-lambda-nodejs\/test\/util\.test\.ts$/);
+    expect(files[1]).toMatch(/aws-lambda-nodejs\/test\/function\.test\.ts$/);
+  });
+
+  test('Non existing files starting at a non existing relative path', () => {
+    expect(findUpMultiple(['not-to-be-found.txt', 'not-to-be-found2.txt'], 'non-existing/relative/path')).toEqual([]);
+  });
+
+  test('Starting at a relative path', () => {
+    const files = findUpMultiple(['util.test.ts', 'function.test.ts'], 'test/integ-handlers');
+    expect(files).toHaveLength(2);
+    expect(files[0]).toMatch(/aws-lambda-nodejs\/test\/util\.test\.ts$/);
+    expect(files[1]).toMatch(/aws-lambda-nodejs\/test\/function\.test\.ts$/);
+  });
+
+  test('Files on multiple levels', () => {
+    const files = findUpMultiple(['README.md', 'util.test.ts'], path.join(__dirname, 'integ-handlers'));
+    expect(files).toHaveLength(1);
+    expect(files[0]).toMatch(/aws-lambda-nodejs\/test\/util\.test\.ts$/);
+  });
+});
+
 describe('exec', () => {
   test('normal execution', () => {
     const spawnSyncMock = jest.spyOn(child_process, 'spawnSync').mockReturnValue({