diff --git a/doc/api/dgram.markdown b/doc/api/dgram.markdown
index 09bacaf098c117..ce205c0f5c6fae 100644
--- a/doc/api/dgram.markdown
+++ b/doc/api/dgram.markdown
@@ -82,7 +82,7 @@ are created.
 
 ### Event: 'close'
 
-Emitted when a socket is closed with `close()`.  No new `message` events will be emitted
+Emitted after a socket is closed with `close()`.  No new `message` events will be emitted
 on this socket.
 
 ### Event: 'error'
@@ -228,9 +228,10 @@ shown below.
     });
 
 
-### socket.close()
+### socket.close([callback])
 
-Close the underlying socket and stop listening for data on it.
+Close the underlying socket and stop listening for data on it. If a callback is
+provided, it is added as a listener for the ['close'](#dgram_event_close) event.
 
 ### socket.address()
 
diff --git a/lib/dgram.js b/lib/dgram.js
index 75e494cbf2f0d5..255b9fb5941372 100644
--- a/lib/dgram.js
+++ b/lib/dgram.js
@@ -352,7 +352,9 @@ function afterSend(err) {
 }
 
 
-Socket.prototype.close = function() {
+Socket.prototype.close = function(callback) {
+  if (callback)
+    this.on('close', callback);
   this._healthCheck();
   this._stopReceiving();
   this._handle.close();
diff --git a/test/parallel/test-dgram-close.js b/test/parallel/test-dgram-close.js
index 14204bf05e4fd6..6ac19339e4dd42 100644
--- a/test/parallel/test-dgram-close.js
+++ b/test/parallel/test-dgram-close.js
@@ -32,9 +32,13 @@ buf.fill(42);
 var socket = dgram.createSocket('udp4');
 var handle = socket._handle;
 var closeEvents = 0;
+var closeCallbacks = 0;
 socket.send(buf, 0, buf.length, common.PORT, 'localhost');
-assert.strictEqual(socket.close(), socket);
+assert.strictEqual(socket.close(function() {
+  ++closeCallbacks;
+}), socket);
 socket.on('close', function() {
+  assert.equal(closeCallbacks, 1);
   ++closeEvents;
 });
 socket = null;
@@ -48,4 +52,5 @@ setImmediate(function() {
 
 process.on('exit', function() {
   assert.equal(closeEvents, 1);
+  assert.equal(closeCallbacks, 1);
 });