Index: wp-admin/network/sites.php
===================================================================
--- wp-admin/network/sites.php	(revision 16184)
+++ wp-admin/network/sites.php	(working copy)
@@ -89,7 +89,10 @@
 <?php screen_icon('ms-admin'); ?>
 <h2><?php _e('Sites') ?>
 <?php echo $msg; ?>
-<a href="<?php echo network_admin_url('site-new.php'); ?>" class="button add-new-h2"><?php echo esc_html_x( 'Add New', 'sites' ); ?></a>
+if ( current_user_can( 'create_sites') ) : ?>
+	<a href="<?php echo network_admin_url('site-new.php'); ?>" class="button add-new-h2"><?php echo esc_html_x( 'Add New', 'sites' ); ?></a><?php
+endif;
+ ?></a>
 <?php if ( isset( $_REQUEST['s'] ) && $_REQUEST['s'] ) {
 	printf( '<span class="subtitle">' . __( 'Search results for &#8220;%s&#8221;' ) . '</span>', esc_html( $s ) );
 } ?>