Index: src/wp-admin/includes/class-wp-upgrader.php
===================================================================
--- src/wp-admin/includes/class-wp-upgrader.php	(revision 25750)
+++ src/wp-admin/includes/class-wp-upgrader.php	(working copy)
@@ -1343,6 +1343,10 @@
 		if ( $offered_ver == $wp_version )
 			return false;
 
+		// Check to see if we've failed to update once before
+		if ( get_site_option( 'update_failed_' . $offered_ver ) )
+			return false;
+
 		// 2: If we're running a newer version, that's a nope
 		if ( version_compare( $wp_version, $offered_ver, '>' ) )
 			return false;
@@ -1737,6 +1741,9 @@
 				$rollback_data = $core_update_result->get_error_data();
 				$extra_update_stats['success'] = is_wp_error( $rollback_data['update'] ) ? $rollback_data['update']->get_error_code() : $rollback_data['update'];
 				$extra_update_stats['rollback'] = is_wp_error( $rollback_data['rollback'] ) ? $rollback_data['rollback']->get_error_code() : $rollback_data['rollback'];
+
+				// Set a flag to say we don't want to attempt to upgrade to that version again
+				set_site_option( 'update_failed_' . $core_update->version, true );
 			}
 			$extra_update_stats['fs_method'] = $GLOBALS['wp_filesystem']->method;
 			$extra_update_stats['time_taken'] = ( time() - $start_time );