This function added to functions.php does exactly that:
// Enables Editor in Media edit screen.
function add_editor_support_for_attachments($settings) {
if( get_post_type() == 'attachment'){
$quicktags_settings = array( 'buttons' => 'strong,em,link,block,del,ins,ul,ol,li,code,close' );
$settings = array(
'wpautop' => true,
'textarea_name' => 'content',
'textarea_rows' => 10,
'media_buttons' => false,
'tinymce' => true,
'quicktags' => $quicktags_settings,
);
return $settings;
}
}
add_filter( 'wp_editor_settings', 'add_editor_support_for_attachments' );