Index: wp-includes/admin-bar.php
===================================================================
--- wp-includes/admin-bar.php	(revision 21304)
+++ wp-includes/admin-bar.php	(working copy)
@@ -230,7 +230,11 @@
 	$title = wp_html_excerpt( $blogname, 40 );
 	if ( $title != $blogname )
 		$title = trim( $title ) . '…';
-
+	
+	if ( is_admin() ) {
+		$title = sprintf( __('View %s'), $title);
+	}
+	
 	$wp_admin_bar->add_menu( array(
 		'id'    => 'site-name',
 		'title' => $title,
@@ -240,14 +244,6 @@
 	// Create submenu items.
 
 	if ( is_admin() ) {
-		// Add an option to visit the site.
-		$wp_admin_bar->add_menu( array(
-			'parent' => 'site-name',
-			'id'     => 'view-site',
-			'title'  => __( 'Visit Site' ),
-			'href'   => home_url( '/' ),
-		) );
-
 		if ( is_blog_admin() && is_multisite() && current_user_can( 'manage_sites' ) ) {
 			$wp_admin_bar->add_menu( array(
 				'parent' => 'site-name',