I have a simple nginx reverse proxy:

server {
  server_name external.domain.com;
  location / {
    proxy_pass http://backend.int/;
  }
}

The problem is that Set-Cookie response headers contain ;Domain=backend.int, because the backend does not know it is being reverse proxied.

How can I make nginx rewrite the content of the Set-Cookie response headers, replacing ;Domain=backend.int with ;Domain=external.domain.com?

Passing the Host header unchanged is not an option in this case.

Apache httpd has had this feature for a while, see ProxyPassReverseCookieDomain, but I cannot seem to find a way to do the same in nginx.