diff --git a/src/index.ts b/src/index.ts
index 0eecc990..88c9376b 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -176,7 +176,7 @@ export async function build(_options: Options) {
               })
               worker.on('message', (data) => {
                 if (data === 'error') {
-                  reject(new Error('error occured in dts build'))
+                  reject(new Error('error occurred in dts build'))
                 } else if (data === 'success') {
                   resolve()
                 } else {
diff --git a/src/rollup.ts b/src/rollup.ts
index 28672fb2..35fdea1e 100644
--- a/src/rollup.ts
+++ b/src/rollup.ts
@@ -2,7 +2,6 @@ import { parentPort } from 'worker_threads'
 import { InputOptions, OutputOptions, Plugin } from 'rollup'
 import { NormalizedOptions } from './'
 import ts from 'typescript'
-import hashbangPlugin from 'rollup-plugin-hashbang'
 import jsonPlugin from '@rollup/plugin-json'
 import { handleError } from './errors'
 import { defaultOutExtension, removeFiles } from './utils'
@@ -167,7 +166,6 @@ const getRollupConfig = async (
       plugins: [
         tsupCleanPlugin,
         tsResolveOptions && tsResolvePlugin(tsResolveOptions),
-        hashbangPlugin(),
         jsonPlugin(),
         ignoreFiles,
         dtsPlugin.default({
diff --git a/test/index.test.ts b/test/index.test.ts
index df2c19d7..1e07f82b 100644
--- a/test/index.test.ts
+++ b/test/index.test.ts
@@ -542,7 +542,7 @@ test('onSuccess: use a function from config file', async () => {
             await new Promise((resolve) => {
               setTimeout(() => {
                 console.log('world')
-                resolve('')  
+                resolve('')
               }, 1_000)
             })
           }
@@ -872,6 +872,36 @@ test('shebang', async () => {
   }).toThrow()
 })
 
+/**
+ * tsup should not attempt to `chmod +x` type definition files in the output,
+ * even when their corresponding module starts with a shebang.
+ * It might be harmless for it to do it anyway, except that
+ * rollup-plugin-hashbang seems to suffer from a race condition where it may
+ * attempt to chmod type definition files before they are written to disk,
+ * which fails the build with an error:
+ * https://github.com/egoist/tsup/issues/1001
+ */
+test('do not chmod +x dts files', async () => {
+  const { outDir, logs } = await run(
+    getTestName(),
+    {
+      'a.ts': `#!/usr/bin/env node\bconsole.log('a')`,
+    },
+    {
+      entry: ['a.ts'],
+      flags: ['--dts'],
+    }
+  )
+
+  if (process.platform === 'win32') {
+    return
+  }
+
+  expect(() => {
+    fs.accessSync(path.join(outDir, 'a.d.ts'), fs.constants.X_OK)
+  }).toThrow()
+})
+
 test('es5 target', async () => {
   const { output, outFiles } = await run(
     getTestName(),
@@ -1037,7 +1067,7 @@ test('use rollup for treeshaking --format cjs', async () => {
       }`,
       'input.tsx': `
       import ReactSelect from 'react-select'
-      
+
       export const Component = (props: {}) => {
         return <ReactSelect {...props} />
       };
@@ -1345,9 +1375,14 @@ test('should emit a declaration file per format', async () => {
           format: ['esm', 'cjs'],
           dts: true
         }`,
-  });
-  expect(outFiles).toEqual(['input.d.mts', 'input.d.ts', 'input.js', 'input.mjs'])
-});
+  })
+  expect(outFiles).toEqual([
+    'input.d.mts',
+    'input.d.ts',
+    'input.js',
+    'input.mjs',
+  ])
+})
 
 test('should emit a declaration file per format (type: module)', async () => {
   const { outFiles } = await run(getTestName(), {
@@ -1361,6 +1396,11 @@ test('should emit a declaration file per format (type: module)', async () => {
           format: ['esm', 'cjs'],
           dts: true
         }`,
-  });
-  expect(outFiles).toEqual(['input.cjs', 'input.d.cts', 'input.d.ts', 'input.js'])
-});
+  })
+  expect(outFiles).toEqual([
+    'input.cjs',
+    'input.d.cts',
+    'input.d.ts',
+    'input.js',
+  ])
+})