Index: src/wp-includes/class-oembed.php
===================================================================
--- src/wp-includes/class-oembed.php	(revision 34563)
+++ src/wp-includes/class-oembed.php	(working copy)
@@ -33,6 +33,7 @@
 	 * @since 2.9.0
 	 */
 	public function __construct() {
+		$host = urlencode( home_url() );
 		$providers = array(
 			'#http://((m|www)\.)?youtube\.com/watch.*#i'          => array( 'http://www.youtube.com/oembed',                      true  ),
 			'#https://((m|www)\.)?youtube\.com/watch.*#i'         => array( 'http://www.youtube.com/oembed?scheme=https',         true  ),
@@ -74,6 +75,7 @@
 			'#https?://kck\.st/.*#i'                              => array( 'https://www.kickstarter.com/services/oembed',        true  ),
 			'#https?://cloudup\.com/.*#i'                         => array( 'https://cloudup.com/oembed',                         true  ),
 			'#https?://(www\.)?reverbnation\.com/.*#i'            => array( 'https://www.reverbnation.com/oembed',                true  ),
+			'#https?://videopress.com/v/.*#'                      => array( 'https://public-api.wordpress.com/oembed/1.0/?for=' . $host, true  ),
 		);
 
 		if ( ! empty( self::$early_providers['add'] ) ) {
@@ -148,6 +150,7 @@
 		 * | ------------ | -------------------- | ----- | --------- |
 		 * | Cloudup      | cloudup.com          |  Yes  | 4.4.0     |
 		 * | ReverbNation | reverbnation.com     |  Yes  | 4.4.0     |
+		 * | VideoPress   | videopress.com       |  Yes  | 4.4.0     |
 		 *
 		 * No longer supported providers:
 		 *