Index: wp-admin/includes/dashboard.php
===================================================================
--- wp-admin/includes/dashboard.php	(revision 19414)
+++ wp-admin/includes/dashboard.php	(working copy)
@@ -1283,7 +1283,7 @@
 	?>
 	<div id="welcome-panel" class="<?php echo esc_attr( $classes ); ?>">
 	<?php wp_nonce_field( 'welcome-panel-nonce', 'welcomepanelnonce', false ); ?>
-	<a class="welcome-panel-close" href="#"><?php _e('Dismiss'); ?></a>
+	<a class="welcome-panel-close hide-if-no-js" href="#"><?php _e('Dismiss'); ?></a>
 	<div class="wp-badge"><?php printf( __( 'Version %s' ), $display_version ); ?></div>
 
 	<div class="welcome-panel-content">
@@ -1349,7 +1349,7 @@
 		endif; ?>
 	</div>
 	</div>
-	<p class="welcome-panel-dismiss"><?php _e( 'Already know what you&#8217;re doing? <a href="#">Dismiss this message</a>.' ); ?></p>
+	<p class="welcome-panel-dismiss hide-if-no-js"><?php _e( 'Already know what you&#8217;re doing? <a href="#">Dismiss this message</a>.' ); ?></p>
 	</div>
 	</div>
 	<?php