diff --git a/lib/fetch/index.js b/lib/fetch/index.js
index c89c9b7ffcb..5323c30abc8 100644
--- a/lib/fetch/index.js
+++ b/lib/fetch/index.js
@@ -1200,6 +1200,10 @@ async function httpRedirectFetch (fetchParams, response) {
   if (!sameOrigin(requestCurrentURL(request), locationURL)) {
     // https://fetch.spec.whatwg.org/#cors-non-wildcard-request-header-name
     request.headersList.delete('authorization')
+
+    // "Cookie" and "Host" are forbidden request-headers, which undici doesn't implement.
+    request.headersList.delete('cookie')
+    request.headersList.delete('host')
   }
 
   // 14. If request’s body is non-null, then set request’s body to the first return
diff --git a/test/fetch/redirect-cross-origin-header.js b/test/fetch/redirect-cross-origin-header.js
new file mode 100644
index 00000000000..fca48c44ea0
--- /dev/null
+++ b/test/fetch/redirect-cross-origin-header.js
@@ -0,0 +1,48 @@
+'use strict'
+
+const { test } = require('tap')
+const { createServer } = require('http')
+const { once } = require('events')
+const { fetch } = require('../..')
+
+test('Cross-origin redirects clear forbidden headers', async (t) => {
+  t.plan(5)
+
+  const server1 = createServer((req, res) => {
+    t.equal(req.headers.cookie, undefined)
+    t.equal(req.headers.authorization, undefined)
+
+    res.end('redirected')
+  }).listen(0)
+
+  const server2 = createServer((req, res) => {
+    t.equal(req.headers.authorization, 'test')
+    t.equal(req.headers.cookie, 'ddd=dddd')
+
+    res.writeHead(302, {
+      ...req.headers,
+      Location: `http://localhost:${server1.address().port}`
+    })
+    res.end()
+  }).listen(0)
+
+  t.teardown(() => {
+    server1.close()
+    server2.close()
+  })
+
+  await Promise.all([
+    once(server1, 'listening'),
+    once(server2, 'listening')
+  ])
+
+  const res = await fetch(`http://localhost:${server2.address().port}`, {
+    headers: {
+      Authorization: 'test',
+      Cookie: 'ddd=dddd'
+    }
+  })
+
+  const text = await res.text()
+  t.equal(text, 'redirected')
+})