Is it possible to set a page as child of a custom post type slug?

I have the following sructure:
/projects (archive of cpt 'projects' with template archive-projects.php)
/projects/project-1 (single view of cpt with template single-projects.php)
/projects/downloads (this is a page)

When I try to open /projects/downloads I get an 404 error.
Is there a way to set a page in the cpt hierarchy?

Thanks!
Aldo