Whether FSSO works with computers on DHCP correctly?

Question

Computer networks

Hello.
There is a Fortigate. FSSO authorization is enabled (if I'm not mistaken, configured according to the dc agent mode process scheme). There is a computer which receives ip on dhcp. Internet access through a proxy on the same fortigate.
When the lease of the address ends and the address changes, the Internet disappears on the computer. You have to do logon / logout or reset the session.

The question is whether fortigate (dc agent or collector) for fsso can update information about the host's ip?