diff --git a/package.json b/package.json
index b3a40a70c..120573fe2 100644
--- a/package.json
+++ b/package.json
@@ -143,7 +143,7 @@
     "@bundled-es-modules/statuses": "^1.0.1",
     "@bundled-es-modules/tough-cookie": "^0.1.6",
     "@inquirer/confirm": "^5.0.0",
-    "@mswjs/interceptors": "^0.36.5",
+    "@mswjs/interceptors": "^0.37.0",
     "@open-draft/deferred-promise": "^2.2.0",
     "@open-draft/until": "^2.1.0",
     "@types/cookie": "^0.6.0",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 96e9a96d2..252e22306 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -18,8 +18,8 @@ dependencies:
     specifier: ^5.0.0
     version: 5.0.1(@types/node@18.19.28)
   '@mswjs/interceptors':
-    specifier: ^0.36.5
-    version: 0.36.10
+    specifier: ^0.37.0
+    version: 0.37.0
   '@open-draft/deferred-promise':
     specifier: ^2.2.0
     version: 2.2.0
@@ -1888,8 +1888,8 @@ packages:
       - utf-8-validate
     dev: true
 
-  /@mswjs/interceptors@0.36.10:
-    resolution: {integrity: sha512-GXrJgakgJW3DWKueebkvtYgGKkxA7s0u5B0P5syJM5rvQUnrpLPigvci8Hukl7yEM+sU06l+er2Fgvx/gmiRgg==}
+  /@mswjs/interceptors@0.37.0:
+    resolution: {integrity: sha512-lDiHQMCBV9qz8c7+zxaNFQtWWaSogTYkqJ3Pg+FGYYC76nsfSxkMQ0df8fojyz16E+w4vp57NLjN2muNG7LugQ==}
     engines: {node: '>=18'}
     dependencies:
       '@open-draft/deferred-promise': 2.2.0
diff --git a/src/browser/setupWorker/start/createResponseListener.ts b/src/browser/setupWorker/start/createResponseListener.ts
index 222635d27..81a70bab9 100644
--- a/src/browser/setupWorker/start/createResponseListener.ts
+++ b/src/browser/setupWorker/start/createResponseListener.ts
@@ -1,9 +1,9 @@
+import { FetchResponse } from '@mswjs/interceptors'
 import type {
   ServiceWorkerIncomingEventsMap,
   SetupWorkerInternalContext,
 } from '../glossary'
 import type { ServiceWorkerMessage } from './utils/createMessageChannel'
-import { isResponseWithoutBody } from '@mswjs/interceptors'
 
 export function createResponseListener(context: SetupWorkerInternalContext) {
   return (
@@ -35,32 +35,27 @@ export function createResponseListener(context: SetupWorkerInternalContext) {
     const response =
       responseJson.status === 0
         ? Response.error()
-        : new Response(
+        : new FetchResponse(
             /**
              * Responses may be streams here, but when we create a response object
              * with null-body status codes, like 204, 205, 304 Response will
              * throw when passed a non-null body, so ensure it's null here
              * for those codes
              */
-            isResponseWithoutBody(responseJson.status)
-              ? null
-              : responseJson.body,
-            responseJson,
+            FetchResponse.isResponseWithBody(responseJson.status)
+              ? responseJson.body
+              : null,
+            {
+              ...responseJson,
+              /**
+               * Set response URL if it's not set already.
+               * @see https://github.com/mswjs/msw/issues/2030
+               * @see https://developer.mozilla.org/en-US/docs/Web/API/Response/url
+               */
+              url: request.url,
+            },
           )
 
-    /**
-     * Set response URL if it's not set already.
-     * @see https://github.com/mswjs/msw/issues/2030
-     * @see https://developer.mozilla.org/en-US/docs/Web/API/Response/url
-     */
-    if (!response.url) {
-      Object.defineProperty(response, 'url', {
-        value: request.url,
-        enumerable: true,
-        writable: false,
-      })
-    }
-
     context.emitter.emit(
       responseJson.isMockedResponse ? 'response:mocked' : 'response:bypass',
       {