diff --git a/lib/web/fetch/body.js b/lib/web/fetch/body.js
index e00197083ff..464e7b50e5c 100644
--- a/lib/web/fetch/body.js
+++ b/lib/web/fetch/body.js
@@ -16,12 +16,25 @@ const { kState } = require('./symbols')
 const { webidl } = require('./webidl')
 const { Blob } = require('node:buffer')
 const assert = require('node:assert')
-const { isErrored } = require('node:stream')
+const { isErrored, isDisturbed } = require('node:stream')
 const { isArrayBuffer } = require('node:util/types')
 const { serializeAMimeType } = require('./data-url')
 const { multipartFormDataParser } = require('./formdata-parser')
 
 const textEncoder = new TextEncoder()
+function noop () {}
+
+const hasFinalizationRegistry = globalThis.FinalizationRegistry && process.version.indexOf('v18') !== 0
+let streamRegistry
+
+if (hasFinalizationRegistry) {
+  streamRegistry = new FinalizationRegistry((weakRef) => {
+    const stream = weakRef.deref()
+    if (stream && !stream.locked && !isDisturbed(stream) && !isErrored(stream)) {
+      stream.cancel('Response object has been garbage collected').catch(noop)
+    }
+  })
+}
 
 // https://fetch.spec.whatwg.org/#concept-bodyinit-extract
 function extractBody (object, keepalive = false) {
@@ -264,7 +277,7 @@ function safelyExtractBody (object, keepalive = false) {
   return extractBody(object, keepalive)
 }
 
-function cloneBody (body) {
+function cloneBody (instance, body) {
   // To clone a body body, run these steps:
 
   // https://fetch.spec.whatwg.org/#concept-body-clone
@@ -272,6 +285,10 @@ function cloneBody (body) {
   // 1. Let « out1, out2 » be the result of teeing body’s stream.
   const [out1, out2] = body.stream.tee()
 
+  if (hasFinalizationRegistry) {
+    streamRegistry.register(instance, new WeakRef(out1))
+  }
+
   // 2. Set body’s stream to out1.
   body.stream = out1
 
@@ -499,5 +516,7 @@ module.exports = {
   safelyExtractBody,
   cloneBody,
   mixinBody,
+  streamRegistry,
+  hasFinalizationRegistry,
   bodyUnusable
 }
diff --git a/lib/web/fetch/request.js b/lib/web/fetch/request.js
index 56f6ff104ad..42301e26eac 100644
--- a/lib/web/fetch/request.js
+++ b/lib/web/fetch/request.js
@@ -875,7 +875,7 @@ function cloneRequest (request) {
   // 2. If request’s body is non-null, set newRequest’s body to the
   // result of cloning request’s body.
   if (request.body != null) {
-    newRequest.body = cloneBody(request.body)
+    newRequest.body = cloneBody(newRequest, request.body)
   }
 
   // 3. Return newRequest.
diff --git a/lib/web/fetch/response.js b/lib/web/fetch/response.js
index 9909066fd38..155dbadd1ad 100644
--- a/lib/web/fetch/response.js
+++ b/lib/web/fetch/response.js
@@ -1,7 +1,7 @@
 'use strict'
 
 const { Headers, HeadersList, fill, getHeadersGuard, setHeadersGuard, setHeadersList } = require('./headers')
-const { extractBody, cloneBody, mixinBody, bodyUnusable } = require('./body')
+const { extractBody, cloneBody, mixinBody, hasFinalizationRegistry, streamRegistry, bodyUnusable } = require('./body')
 const util = require('../../core/util')
 const nodeUtil = require('node:util')
 const { kEnumerableProperty } = util
@@ -26,24 +26,9 @@ const { URLSerializer } = require('./data-url')
 const { kConstruct } = require('../../core/symbols')
 const assert = require('node:assert')
 const { types } = require('node:util')
-const { isDisturbed, isErrored } = require('node:stream')
 
 const textEncoder = new TextEncoder('utf-8')
 
-const hasFinalizationRegistry = globalThis.FinalizationRegistry && process.version.indexOf('v18') !== 0
-let registry
-
-if (hasFinalizationRegistry) {
-  registry = new FinalizationRegistry((weakRef) => {
-    const stream = weakRef.deref()
-    if (stream && !stream.locked && !isDisturbed(stream) && !isErrored(stream)) {
-      stream.cancel('Response object has been garbage collected').catch(noop)
-    }
-  })
-}
-
-function noop () {}
-
 // https://fetch.spec.whatwg.org/#response-class
 class Response {
   // Creates network error Response.
@@ -327,7 +312,7 @@ function cloneResponse (response) {
   // 3. If response’s body is non-null, then set newResponse’s body to the
   // result of cloning response’s body.
   if (response.body != null) {
-    newResponse.body = cloneBody(response.body)
+    newResponse.body = cloneBody(newResponse, response.body)
   }
 
   // 4. Return newResponse.
@@ -532,7 +517,7 @@ function fromInnerResponse (innerResponse, guard) {
     // a primitive or an object, even undefined. If the held value is an object, the registry keeps
     // a strong reference to it (so it can pass it to the cleanup callback later). Reworded from
     // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/FinalizationRegistry
-    registry.register(response, new WeakRef(innerResponse.body.stream))
+    streamRegistry.register(response, new WeakRef(innerResponse.body.stream))
   }
 
   return response
diff --git a/test/fetch/fire-and-forget.js b/test/fetch/fire-and-forget.js
index d8090885eb8..d356729b14d 100644
--- a/test/fetch/fire-and-forget.js
+++ b/test/fetch/fire-and-forget.js
@@ -37,8 +37,9 @@ test('does not need the body to be consumed to continue', { timeout: 180_000, sk
     // eslint-disable-next-line no-undef
     gc(true)
     const array = new Array(batch)
-    for (let i = 0; i < batch; i++) {
+    for (let i = 0; i < batch; i += 2) {
       array[i] = fetch(url).catch(() => {})
+      array[i + 1] = fetch(url).then(r => r.clone()).catch(() => {})
     }
     await Promise.all(array)
     await sleep(delay)