Index: src/wp-admin/about.php
===================================================================
--- src/wp-admin/about.php	(revision 25879)
+++ src/wp-admin/about.php	(working copy)
@@ -63,11 +63,28 @@
 					'mysql_version' => $required_mysql_version,
 				);
 				$can_auto_update = $upgrader->should_update( 'core', $future_minor_update, ABSPATH );
+
+				// Test to see if we want to dispaly the admin email or not
+				if ( (is_multisite() &&  current_user_can('manage_network_options') ) || 
+					 (! is_multisite() && current_user_can('manage_options') )
+				   )
+					$should_display_email = true;
+				else
+					$should_display_email = false;
 			}
 			if ( $can_auto_update ) : ?>
 				<p class="about-auto-update cool"><?php _e( 'This site <strong>is</strong> able to apply these updates automatically. Cool!' ); ?></p>
 			<?php else : ?>
-				<p class="about-auto-update"><?php printf( __( 'This site <strong>is not</strong> able to apply these updates automatically. But we&#8217;ll email %s when there is a new security release.' ), esc_html( get_site_option( 'admin_email' ) ) ); ?></p>
+				<?php if ( $upgrader->is_disabled()	) : ?>
+					<p class="about-auto-update"><?php  _e( 'This site <strong>is not</strong> able to apply these updates automatically.' ); ?></p>
+
+				<?php else : ?> 
+					<?php if ($should_display_email) : ?>		
+						<p class="about-auto-update"><?php printf( __( 'This site <strong>is not</strong> able to apply these updates automatically. But we&#8217;ll email %s when there is a new security release.' ), esc_html( get_site_option( 'admin_email' ) ) ); ?></p>
+					<?php else : ?> 
+						<p class="about-auto-update"><?php  _e( 'This site <strong>is not</strong> able to apply these updates automatically. But we&#8217;ll email the site administrator when there is a new security release.'); ?></p>
+					<?php endif; ?>
+			<?php endif; ?>
 		<?php endif; ?>
 	</div>
 </div>