diff --git a/hook.js b/hook.js
index 3639fbf..c4bb178 100644
--- a/hook.js
+++ b/hook.js
@@ -128,6 +128,9 @@ ${exportNames.map((n) => `
 let $${n} = namespace.${n}
 export { $${n} as ${n} }
 set.${n} = (v) => {
+  if ('${n}' !== 'default' && namespace.default['${n}']) {
+    namespace.default['${n}'] = v
+  }
   $${n} = v
   return true
 }
diff --git a/test/fixtures/cjs-exports.js b/test/fixtures/cjs-exports.js
new file mode 100644
index 0000000..71638d7
--- /dev/null
+++ b/test/fixtures/cjs-exports.js
@@ -0,0 +1,7 @@
+'use strict'
+
+exports.add = function add(a, b) {
+  return a + b
+}
+
+exports.name = 'foo'
diff --git a/test/hook/static-import-aliased.mjs b/test/hook/static-import-aliased.mjs
new file mode 100644
index 0000000..10577c2
--- /dev/null
+++ b/test/hook/static-import-aliased.mjs
@@ -0,0 +1,24 @@
+// The purpose of this test is to prove that CJS modules:
+// 1. Hooks apply to the added `default` export.
+// 2. Hooks apply to the "named" exports.
+
+import Hook from '../../index.js'
+import { strictEqual } from 'assert'
+import * as something from '../fixtures/cjs-exports.js'
+
+Hook((exports, name) => {
+  if (/cjs-exports\.js$/.test(name) === false) return
+  const add = exports.add
+  exports.add = function wrappedAdd(a, b) {
+    return 'wrapped: ' + add(a, b)
+  }
+
+  const namedName = exports.name
+  exports.name = `${namedName}-hooked`
+})
+
+strictEqual(something.default.add(2, 2), 'wrapped: 4')
+strictEqual(something.add(2, 2), 'wrapped: 4')
+
+strictEqual(something.default.name, 'foo-hooked')
+strictEqual(something.name, 'foo-hooked')