EE and WPMU - admin panel logged, but still Log In

Ubuntu 16, ee, WPMU subdomain + redis, problem is while I have access to wp admin (so I logged in), still on frontpage in sidebar I see Log in. And on the frontpage there is no admin bar. But when I go to site.com/wp-admin - I don’t need to login… so front-end don’t knows when I log in.

Tried with single wordpress - works fine, can repeat this bug only on multisite.

*checked again, problem seen only in Chrome with Multisite.

Is it working with another browser with multi sites?