diff --git a/lib/cookies/index.js b/lib/cookies/index.js
index 8856332a58f..def04f5bc4a 100644
--- a/lib/cookies/index.js
+++ b/lib/cookies/index.js
@@ -1,10 +1,9 @@
 'use strict'
 
 const { parseSetCookie } = require('./parse')
-const { stringify } = require('./util')
+const { stringify, getHeadersList } = require('./util')
 const { webidl } = require('../fetch/webidl')
 const { Headers } = require('../fetch/headers')
-const { kHeadersList } = require('../core/symbols')
 
 /**
  * @typedef {Object} Cookie
@@ -27,9 +26,9 @@ const { kHeadersList } = require('../core/symbols')
 function getCookies (headers) {
   webidl.argumentLengthCheck(arguments, 1, { header: 'getCookies' })
 
-  webidl.brandCheck(headers, Headers)
+  webidl.brandCheck(headers, Headers, { strict: false })
 
-  const cookie = headers[kHeadersList].get('cookie')
+  const cookie = headers.get('cookie')
   const out = {}
 
   if (!cookie) {
@@ -54,7 +53,7 @@ function getCookies (headers) {
 function deleteCookie (headers, name, attributes) {
   webidl.argumentLengthCheck(arguments, 2, { header: 'deleteCookie' })
 
-  webidl.brandCheck(headers, Headers)
+  webidl.brandCheck(headers, Headers, { strict: false })
 
   name = webidl.converters.DOMString(name)
   attributes = webidl.converters.DeleteCookieAttributes(attributes)
@@ -76,9 +75,9 @@ function deleteCookie (headers, name, attributes) {
 function getSetCookies (headers) {
   webidl.argumentLengthCheck(arguments, 1, { header: 'getSetCookies' })
 
-  webidl.brandCheck(headers, Headers)
+  webidl.brandCheck(headers, Headers, { strict: false })
 
-  const cookies = headers[kHeadersList].cookies
+  const cookies = getHeadersList(headers).cookies
 
   if (!cookies) {
     return []
@@ -95,7 +94,7 @@ function getSetCookies (headers) {
 function setCookie (headers, cookie) {
   webidl.argumentLengthCheck(arguments, 2, { header: 'setCookie' })
 
-  webidl.brandCheck(headers, Headers)
+  webidl.brandCheck(headers, Headers, { strict: false })
 
   cookie = webidl.converters.Cookie(cookie)
 
diff --git a/lib/cookies/util.js b/lib/cookies/util.js
index d8c189fcd53..2290329fe8e 100644
--- a/lib/cookies/util.js
+++ b/lib/cookies/util.js
@@ -1,5 +1,8 @@
 'use strict'
 
+const assert = require('assert')
+const { kHeadersList } = require('../core/symbols')
+
 function isCTLExcludingHtab (value) {
   if (value.length === 0) {
     return false
@@ -260,7 +263,29 @@ function stringify (cookie) {
   return out.join('; ')
 }
 
+let kHeadersListNode
+
+function getHeadersList (headers) {
+  if (headers[kHeadersList]) {
+    return headers[kHeadersList]
+  }
+
+  if (!kHeadersListNode) {
+    kHeadersListNode = Object.getOwnPropertySymbols(headers).find(
+      (symbol) => symbol.description === 'headers list'
+    )
+
+    assert(kHeadersListNode, 'Headers cannot be parsed')
+  }
+
+  const headersList = headers[kHeadersListNode]
+  assert(headersList)
+
+  return headersList
+}
+
 module.exports = {
   isCTLExcludingHtab,
-  stringify
+  stringify,
+  getHeadersList
 }
diff --git a/lib/fetch/webidl.js b/lib/fetch/webidl.js
index e6eaaa499f6..e55de139505 100644
--- a/lib/fetch/webidl.js
+++ b/lib/fetch/webidl.js
@@ -33,9 +33,11 @@ webidl.errors.invalidArgument = function (context) {
 }
 
 // https://webidl.spec.whatwg.org/#implements
-webidl.brandCheck = function (V, I) {
-  if (!(V instanceof I)) {
+webidl.brandCheck = function (V, I, opts = undefined) {
+  if (opts?.strict !== false && !(V instanceof I)) {
     throw new TypeError('Illegal invocation')
+  } else {
+    return V?.[Symbol.toStringTag] === I.prototype[Symbol.toStringTag]
   }
 }
 
diff --git a/test/cookie/global-headers.js b/test/cookie/global-headers.js
new file mode 100644
index 00000000000..1d58dce1b60
--- /dev/null
+++ b/test/cookie/global-headers.js
@@ -0,0 +1,70 @@
+'use strict'
+
+const { test, skip } = require('tap')
+const {
+  deleteCookie,
+  getCookies,
+  getSetCookies,
+  setCookie
+} = require('../..')
+const { getHeadersList } = require('../../lib/cookies/util')
+
+/* global Headers */
+
+if (!globalThis.Headers) {
+  skip('No global Headers to test')
+  process.exit(0)
+}
+
+test('Using global Headers', (t) => {
+  t.test('deleteCookies', (t) => {
+    const headers = new Headers()
+
+    t.equal(headers.get('set-cookie'), null)
+    deleteCookie(headers, 'undici')
+    t.equal(headers.get('set-cookie'), 'undici=; Expires=Thu, 01 Jan 1970 00:00:00 GMT')
+
+    t.end()
+  })
+
+  t.test('getCookies', (t) => {
+    const headers = new Headers({
+      cookie: 'get=cookies; and=attributes'
+    })
+
+    t.same(getCookies(headers), { get: 'cookies', and: 'attributes' })
+    t.end()
+  })
+
+  t.test('getSetCookies', (t) => {
+    const headers = new Headers({
+      'set-cookie': 'undici=getSetCookies; Secure'
+    })
+
+    const supportsCookies = getHeadersList(headers).cookies
+
+    if (!supportsCookies) {
+      t.same(getSetCookies(headers), [])
+    } else {
+      t.same(getSetCookies(headers), [
+        {
+          name: 'undici',
+          value: 'getSetCookies',
+          secure: true
+        }
+      ])
+    }
+
+    t.end()
+  })
+
+  t.test('setCookie', (t) => {
+    const headers = new Headers()
+
+    setCookie(headers, { name: 'undici', value: 'setCookie' })
+    t.equal(headers.get('Set-Cookie'), 'undici=setCookie')
+    t.end()
+  })
+
+  t.end()
+})
diff --git a/types/cookies.d.ts b/types/cookies.d.ts
index 5b2243440f0..aa38cae49d7 100644
--- a/types/cookies.d.ts
+++ b/types/cookies.d.ts
@@ -15,7 +15,7 @@ export interface Cookie {
   unparsed?: string[]
 }
 
-export function deleteCookies (
+export function deleteCookie (
   headers: Headers,
   name: string,
   attributes?: { name?: string, domain?: string }
diff --git a/types/webidl.d.ts b/types/webidl.d.ts
index ae33d2f87c1..182d18e0d4c 100644
--- a/types/webidl.d.ts
+++ b/types/webidl.d.ts
@@ -162,7 +162,7 @@ export interface Webidl {
    * @description Performs a brand-check on {@param V} to ensure it is a
    * {@param cls} object.
    */
-  brandCheck <Interface>(V: unknown, cls: Interface): asserts V is Interface
+  brandCheck <Interface>(V: unknown, cls: Interface, opts?: { strict?: boolean }): asserts V is Interface
 
   /**
    * @see https://webidl.spec.whatwg.org/#es-sequence