diff --git a/packages/flutter_tools/lib/src/web/chrome.dart b/packages/flutter_tools/lib/src/web/chrome.dart
index 996d79c468..fb92ecd740 100644
--- a/packages/flutter_tools/lib/src/web/chrome.dart
+++ b/packages/flutter_tools/lib/src/web/chrome.dart
@@ -507,20 +507,19 @@ class Chromium {
     // Send a command to shut down the browser cleanly.
     Duration sigtermDelay = Duration.zero;
     if (_hasValidChromeConnection) {
-      ChromeTab? tab;
       try {
-        tab = await chromeConnection.getTab(
+        final ChromeTab? tab = await chromeConnection.getTab(
             (_) => true, retryFor: const Duration(seconds: 1));
-      } on SocketException {
+        if (tab != null) {
+          final WipConnection wipConnection = await tab.connect();
+          await wipConnection.sendCommand('Browser.close');
+          await wipConnection.close();
+          sigtermDelay = const Duration(seconds: 1);
+        }
+      } on IOException {
         // Chrome is not responding to the debug protocol and probably has
         // already been closed.
       }
-      if (tab != null) {
-        final WipConnection wipConnection = await tab.connect();
-        await wipConnection.sendCommand('Browser.close');
-        await wipConnection.close();
-        sigtermDelay = const Duration(seconds: 1);
-      }
     }
     chromeConnection.close();
     _hasValidChromeConnection = false;
diff --git a/packages/flutter_tools/test/web.shard/chrome_test.dart b/packages/flutter_tools/test/web.shard/chrome_test.dart
index a7cf10c786..67c1711995 100644
--- a/packages/flutter_tools/test/web.shard/chrome_test.dart
+++ b/packages/flutter_tools/test/web.shard/chrome_test.dart
@@ -838,6 +838,23 @@ void main() {
     chromeConnection.throwSocketExceptions = true;
     await chrome.close();
   });
+
+  test('Chromium close handles a WebSocketException when closing the WipConnection', () async {
+    final BufferLogger logger = BufferLogger.test();
+    final FakeChromeConnectionWithTab chromeConnection = FakeChromeConnectionWithTab(throwWebSocketException: true);
+    final ChromiumLauncher chromiumLauncher = ChromiumLauncher(
+      fileSystem: fileSystem,
+      platform: platform,
+      processManager: processManager,
+      operatingSystemUtils: operatingSystemUtils,
+      browserFinder: findChromeExecutable,
+      logger: logger,
+    );
+    final FakeProcess process = FakeProcess();
+    final Chromium chrome = Chromium(0, chromeConnection, chromiumLauncher: chromiumLauncher, process: process, logger: logger);
+    expect(await chromiumLauncher.connect(chrome, false), equals(chrome));
+    await chrome.close();
+  });
 }
 
 /// Fake chrome connection that fails to get tabs a few times.
@@ -877,8 +894,8 @@ typedef OnSendCommand = void Function(String);
 
 /// Fake chrome connection that returns a tab.
 class FakeChromeConnectionWithTab extends Fake implements ChromeConnection {
-  FakeChromeConnectionWithTab({OnSendCommand? onSendCommand})
-      : _tab = FakeChromeTab(onSendCommand);
+  FakeChromeConnectionWithTab({OnSendCommand? onSendCommand, bool throwWebSocketException = false})
+      : _tab = FakeChromeTab(onSendCommand, throwWebSocketException);
 
   final FakeChromeTab _tab;
   bool throwSocketExceptions = false;
@@ -904,20 +921,22 @@ class FakeChromeConnectionWithTab extends Fake implements ChromeConnection {
 }
 
 class FakeChromeTab extends Fake implements ChromeTab {
-  FakeChromeTab(this.onSendCommand);
+  FakeChromeTab(this.onSendCommand, this.throwWebSocketException);
 
-  OnSendCommand? onSendCommand;
+  final OnSendCommand? onSendCommand;
+  final bool throwWebSocketException;
 
   @override
   Future<WipConnection> connect({Function? onError}) async {
-    return FakeWipConnection(onSendCommand);
+    return FakeWipConnection(onSendCommand, throwWebSocketException);
   }
 }
 
 class FakeWipConnection extends Fake implements WipConnection {
-  FakeWipConnection(this.onSendCommand);
+  FakeWipConnection(this.onSendCommand, this.throwWebSocketException);
 
-  OnSendCommand? onSendCommand;
+  final OnSendCommand? onSendCommand;
+  final bool throwWebSocketException;
 
   @override
   Future<WipResponse> sendCommand(String method, [Map<String, dynamic>? params]) async {
@@ -926,5 +945,9 @@ class FakeWipConnection extends Fake implements WipConnection {
   }
 
   @override
-  Future<void> close() async {}
+  Future<void> close() async {
+    if (throwWebSocketException) {
+      throw const io.WebSocketException('test');
+    }
+  }
 }