Open_basedir disabled but snapshot doesn't acknowledge that

In my server LiteSpeed server I have open_basedir turned off and snapshot still shows that its on and won't proceed with backups. I contacted my hosting provider and gave him the error string that was returned by function ini_get(open_basedir). This is the string:

/home/klient.domain.com/account/demonek/www/public/errors.demonek.com/usr/local/lsws/share/autoindexusr/local/php/usr/share/phpetc/pear

I got a reply that the message is correct since the open_basedir is off and it won't go any more "up" in the folder hierarchy as my account allows it to go. However, I'm wondering whether the returned value may be a problem that results in the snapshot to recognize the open_basedir as being turned on?

I would greatly appreciate a quick fix for that since I have about 15 sites of different clients of mine that won't backup.