Index: wp-includes/class-oembed.php
===================================================================
--- wp-includes/class-oembed.php	(revision 19814)
+++ wp-includes/class-oembed.php	(working copy)
@@ -32,6 +32,8 @@
 		$this->providers = apply_filters( 'oembed_providers', array(
 			'#http://(www\.)?youtube.com/watch.*#i'         => array( 'http://www.youtube.com/oembed',            true  ),
 			'http://youtu.be/*'                             => array( 'http://www.youtube.com/oembed',            false ),
+			'#https://(www\.)?youtube.com/watch.*#i'        => array( 'http://www.youtube.com/oembed?scheme=https',true  ),
+			'https://youtu.be/*'                            => array( 'http://www.youtube.com/oembed?scheme=https',false ),
 			'http://blip.tv/*'                              => array( 'http://blip.tv/oembed/',                   false ),
 			'#http://(www\.)?vimeo\.com/.*#i'               => array( 'http://vimeo.com/api/oembed.{format}',     true  ),
 			'#http://(www\.)?dailymotion\.com/.*#i'         => array( 'http://www.dailymotion.com/api/oembed',    true  ),