Index: wp-admin/includes/update.php
===================================================================
--- wp-admin/includes/update.php	(revision 16035)
+++ wp-admin/includes/update.php	(working copy)
@@ -192,13 +192,15 @@
 
 	$details_url = self_admin_url('plugin-install.php?tab=plugin-information&plugin=' . $r->slug . '&TB_iframe=true&width=600&height=800');
 
-	echo '<tr class="plugin-update-tr"><td colspan="3" class="plugin-update"><div class="update-message">';
-	if ( ! current_user_can('update_plugins') )
-		printf( __('There is a new version of %1$s available. <a href="%2$s" class="thickbox" title="%3$s">View version %4$s details</a>.'), $plugin_name, esc_url($details_url), esc_attr($plugin_name), $r->new_version );
-	else if ( empty($r->package) )
-		printf( __('There is a new version of %1$s available. <a href="%2$s" class="thickbox" title="%3$s">View version %4$s details</a>. <em>Automatic upgrade is unavailable for this plugin.</em>'), $plugin_name, esc_url($details_url), esc_attr($plugin_name), $r->new_version );
-	else
-		printf( __('There is a new version of %1$s available. <a href="%2$s" class="thickbox" title="%3$s">View version %4$s details</a> or <a href="%5$s">upgrade automatically</a>.'), $plugin_name, esc_url($details_url), esc_attr($plugin_name), $r->new_version, wp_nonce_url( self_admin_url('update.php?action=upgrade-plugin&plugin=') . $file, 'upgrade-plugin_' . $file) );
+	if ( is_network_admin() || !is_multisite() ) {
+		echo '<tr class="plugin-update-tr"><td colspan="3" class="plugin-update"><div class="update-message">';
+		if ( ! current_user_can('update_plugins') )
+			printf( __('There is a new version of %1$s available. <a href="%2$s" class="thickbox" title="%3$s">View version %4$s details</a>.'), $plugin_name, esc_url($details_url), esc_attr($plugin_name), $r->new_version );
+		else if ( empty($r->package) )
+			printf( __('There is a new version of %1$s available. <a href="%2$s" class="thickbox" title="%3$s">View version %4$s details</a>. <em>Automatic upgrade is unavailable for this plugin.</em>'), $plugin_name, esc_url($details_url), esc_attr($plugin_name), $r->new_version );
+		else
+			printf( __('There is a new version of %1$s available. <a href="%2$s" class="thickbox" title="%3$s">View version %4$s details</a> or <a href="%5$s">upgrade automatically</a>.'), $plugin_name, esc_url($details_url), esc_attr($plugin_name), $r->new_version, wp_nonce_url( self_admin_url('update.php?action=upgrade-plugin&plugin=') . $file, 'upgrade-plugin_' . $file) );
+	}
 
 	do_action( "in_plugin_update_message-$file", $plugin_data, $r );
 
