diff --git a/src/node/index.js b/src/node/index.js
index ed1e46578..0bd89185d 100644
--- a/src/node/index.js
+++ b/src/node/index.js
@@ -551,12 +551,13 @@ Request.prototype._redirect = function (res) {
   _initHeaders(this);
 
   // redirect
+  this.res = res;
   this._endCalled = false;
   this.url = url;
   this.qs = {};
   this._query.length = 0;
   this.set(headers);
-  this.emit('redirect', res);
+  this._emitRedirect();
   this._redirectList.push(this.url);
   this.end(this._callback);
   return this;
@@ -969,6 +970,18 @@ Request.prototype._emitResponse = function (body, files) {
   return response;
 };
 
+/**
+ * Emit `redirect` event, passing an instanceof `Response`.
+ *
+ * @api private
+ */
+
+Request.prototype._emitRedirect = function () {
+  const response = new Response(this);
+  response.redirects = this._redirectList;
+  this.emit('redirect', response);
+};
+
 Request.prototype.end = function (fn) {
   this.request();
   debug('%s %s', this.method, this.url);
diff --git a/test/node/redirects.js b/test/node/redirects.js
index 7dff60fe8..b1d5d9260 100644
--- a/test/node/redirects.js
+++ b/test/node/redirects.js
@@ -71,6 +71,25 @@ describe('request', () => {
       });
     });
 
+    it('should overwrite previously set cookie during a redirect when agent is used', (done) => {
+      const agent = request.agent();
+      agent.get(`${base}/set-cookie`).end((error) => {
+        assert.ifError(error);
+        agent
+          .get(`${base}/cookie-redirect`)
+          .redirects(1)
+          .end((error, res) => {
+            try {
+              assert.ifError(error);
+              assert(/replaced=yes/.test(res.text), 'replaced=yes');
+              done();
+            } catch (err) {
+              done(err);
+            }
+          });
+      });
+    })
+
     it('should follow Location', (done) => {
       const redirects = [];
 
diff --git a/test/support/server.js b/test/support/server.js
index 159da2753..a219c0d15 100644
--- a/test/support/server.js
+++ b/test/support/server.js
@@ -419,6 +419,7 @@ app.get('/cookie-redirect', (request, res) => {
 });
 
 app.get('/set-cookie', (request, res) => {
+  res.cookie('replaced', 'no')
   res.cookie('persist', '123');
   res.send('ok');
 });