diff --git a/CHANGELOG.md b/CHANGELOG.md
index 36741302..6aae7fce 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -27,6 +27,11 @@
 * Add a top-level `warn()` function for custom functions and importers to print
   warning messages.
 
+### JavaScript API
+
+* Avoid re-assigning the `require()` function to make the code statically
+  analyzable by Webpack.
+
 ## 1.20.3
 
 * No user-visible changes.
diff --git a/lib/src/io/node.dart b/lib/src/io/node.dart
index 4f003dfb..6959b950 100644
--- a/lib/src/io/node.dart
+++ b/lib/src/io/node.dart
@@ -87,10 +87,8 @@ class Stderr {
   void flush() {}
 }
 
-@JS("require")
-external _FS _require(String name);
-
-final _fs = _require("fs");
+@JS("fs")
+external _FS get _fs;
 
 @JS("process")
 external _Process get _process;
diff --git a/lib/src/node/chokidar.dart b/lib/src/node/chokidar.dart
index 747e7f8f..8ceb972e 100644
--- a/lib/src/node/chokidar.dart
+++ b/lib/src/node/chokidar.dart
@@ -4,9 +4,6 @@
 
 import 'package:js/js.dart';
 
-@JS("require")
-external Chokidar _require(String name);
-
 @JS()
 class Chokidar {
   external ChokidarWatcher watch(String path, ChokidarOptions options);
@@ -30,4 +27,5 @@ class ChokidarWatcher {
 /// The Chokidar module.
 ///
 /// See [the docs on npm](https://www.npmjs.com/package/chokidar).
-final chokidar = _require("chokidar");
+@JS("chokidar")
+external Chokidar get chokidar;
diff --git a/tool/grind/npm.dart b/tool/grind/npm.dart
index e964e520..1b77d9cc 100644
--- a/tool/grind/npm.dart
+++ b/tool/grind/npm.dart
@@ -42,7 +42,13 @@ void _js({@required bool release}) {
     // * We thoroughly test edge cases in user input.
     if (release) ...["-O4", "--fast-startup"]
   ]);
-  var text = destination.readAsStringSync();
+  var text = destination
+      .readAsStringSync()
+      // Some dependencies dynamically invoke `require()`, which makes Webpack
+      // complain. We replace those with direct references to the modules, which
+      // we load explicitly after the preamble.
+      .replaceAllMapped(RegExp(r'self\.require\("([a-zA-Z0-9_-]+)"\)'),
+          (match) => "self.${match[1]}");
 
   if (release) {
     // We don't ship the source map, so remove the source map comment.
@@ -50,7 +56,16 @@ void _js({@required bool release}) {
         text.replaceFirst(RegExp(r"\n*//# sourceMappingURL=[^\n]+\n*$"), "\n");
   }
 
-  destination.writeAsStringSync(preamble.getPreamble() + text);
+  // Reassigning require() makes Webpack complain.
+  var preambleText =
+      preamble.getPreamble().replaceFirst("self.require = require;\n", "");
+
+  destination.writeAsStringSync("""
+$preambleText
+self.fs = require("fs");
+self.chokidar = require("chokidar");
+self.readline = require("readline");
+$text""");
 }
 
 @Task('Build a pure-JS dev-mode npm package.')