Complete SSO with SAML and AD SSO (polling)

Hello experts,

I want to implement SAML authentication for some web application.

The trick is that, I need the on-prem users, who already signed in to their domain accounts to be given the assertion directly without being re-directed to a login form.

I did integrate FAC with the DC using "windows event log " method.

Is there anyway to link a user who is redirected through SAML to FAC by his IP address with a user that already has an SSO session, so that the user is not prompt to actively login again?