diff --git a/lib/http.js b/lib/http.js
index 3537b70b79..d10f58d9ed 100644
--- a/lib/http.js
+++ b/lib/http.js
@@ -1185,7 +1185,7 @@ Agent.prototype._establishNewConnection = function() {
   parser.incoming = null;
 
   socket.on('error', function(err) {
-    debug('AGENT SOCKET ERROR: ' + err.message);
+    debug('AGENT SOCKET ERROR: ' + err.message + '\n' + err.stack);
     var req;
     if (socket._httpMessage) {
       req = socket._httpMessage;
diff --git a/lib/net.js b/lib/net.js
index 1be0e49db9..e96e3c6900 100644
--- a/lib/net.js
+++ b/lib/net.js
@@ -844,7 +844,12 @@ Socket.prototype._shutdown = function() {
       try {
         this._shutdownImpl();
       } catch (e) {
-        this.destroy(e);
+        if (e.code == 'ENOTCONN') {
+          // Allowed.
+          this.destroy();
+        } else {
+          this.destroy(e);
+        }
       }
     } else {
       // writable but not readable
diff --git a/test/disabled/GH-670.js b/test/disabled/GH-670.js
new file mode 100644
index 0000000000..0888cb950f
--- /dev/null
+++ b/test/disabled/GH-670.js
@@ -0,0 +1,39 @@
+var assert = require('assert');
+var https = require('https');
+var tls = require('tls');
+
+var options = {
+  host: 'github.com',
+  path: '/kriskowal/tigerblood/',
+  port: 443
+};
+
+var req = https.get(options, function(response) {
+  var recved = 0;
+
+  response.on('data', function(chunk) {
+    recved += chunk.length;
+    console.log('Response data.');
+  });
+
+  response.on('end', function() {
+    console.log('Response end.');
+    // Does not work
+    loadDom();
+  });
+
+});
+
+req.on('error', function(e) {
+  console.log('Error on get.');
+});
+
+function loadDom() {
+  // Do a lot of computation to stall the process.
+  // In the meantime the socket will be disconnected.
+  for (var i = 0; i < 1e8; i++) {
+    ;
+  }
+
+  console.log('Dom loaded.');
+}