Exclude WP-Filebase files from wordpress search

I use Filebase to manage exclusively private files for a private section of a website. Everything is Ok with custom roles I've created and a private page in which I display the file browser.

However, there is an issue for me because files are accessible via the Wordpress default search tool.

If roles a properly set, these files can be displayed in results with "no access" mention but it would be better to completely exclude them from the search.

Someone knows how can I achieve that?

Thanks

via Chebli Mohamed