When using jsdom, redirects are followed but they do not take into account any cookies that are set during the course of the redirect. Consider the short express app and related jsdom script.

redirect.fetch.test.node.js

var
  jsdom = require('jsdom');
  
jsdom.env(
    'http://localhost:3012/',
    ["http://code.jquery.com/jquery.js"],
    function (errors, window) {
      if (errors) {
        console.log('error', errors);
      } else {
        console.log('window', window);
      }
    }
);

test.redirect.node.js

/*
this just sets a cookie then redirects. If the cookie is set, then it renders the correct page, otherwise it redirects again. 
*/

var express = require('express');
var app = express();
app.use(express.bodyParser());
app.use(express.cookieParser());

app.get('/', function(req, res){
  console.log(req.cookies);
  if (typeof req.cookies.MyCookie === 'undefined') {
    res.cookie('MyCookie', 'cookievalue');
    res.redirect(302,'/');
    console.log('redirecting');
  } else {
    res.send('you got the cookie');
    console.log('cookie ok', req.cookies);
  }
});

app.listen(3012);