diff --git a/lib/web/cache/cache.js b/lib/web/cache/cache.js
index 5bfd94b3281..6a1d16fa28b 100644
--- a/lib/web/cache/cache.js
+++ b/lib/web/cache/cache.js
@@ -514,6 +514,7 @@ class Cache {
       for (const request of requests) {
         const requestObject = fromInnerRequest(
           request,
+          undefined,
           new AbortController().signal,
           'immutable'
         )
diff --git a/lib/web/fetch/request.js b/lib/web/fetch/request.js
index a91ce351bed..92c9ee501fb 100644
--- a/lib/web/fetch/request.js
+++ b/lib/web/fetch/request.js
@@ -775,7 +775,7 @@ class Request {
     }
 
     // 4. Return clonedRequestObject.
-    return fromInnerRequest(clonedRequest, ac.signal, getHeadersGuard(this[kHeaders]))
+    return fromInnerRequest(clonedRequest, this[kDispatcher], ac.signal, getHeadersGuard(this[kHeaders]))
   }
 
   [nodeUtil.inspect.custom] (depth, options) {
@@ -875,13 +875,15 @@ function cloneRequest (request) {
 /**
  * @see https://fetch.spec.whatwg.org/#request-create
  * @param {any} innerRequest
+ * @param {import('../../dispatcher/agent')} dispatcher
  * @param {AbortSignal} signal
  * @param {'request' | 'immutable' | 'request-no-cors' | 'response' | 'none'} guard
  * @returns {Request}
  */
-function fromInnerRequest (innerRequest, signal, guard) {
+function fromInnerRequest (innerRequest, dispatcher, signal, guard) {
   const request = new Request(kConstruct)
   request[kState] = innerRequest
+  request[kDispatcher] = dispatcher
   request[kSignal] = signal
   request[kHeaders] = new Headers(kConstruct)
   setHeadersList(request[kHeaders], innerRequest.headersList)
diff --git a/test/fetch/issue-3630.js b/test/fetch/issue-3630.js
new file mode 100644
index 00000000000..d03b7185fa5
--- /dev/null
+++ b/test/fetch/issue-3630.js
@@ -0,0 +1,12 @@
+'use strict'
+
+const { test } = require('node:test')
+const assert = require('node:assert')
+const { Request, Agent } = require('../..')
+const { kDispatcher } = require('../../lib/web/fetch/symbols')
+
+test('Cloned request should inherit its dispatcher', () => {
+  const agent = new Agent()
+  const request = new Request('https://a', { dispatcher: agent })
+  assert.strictEqual(request[kDispatcher], agent)
+})