Hi @AlSimmons,
Actually there is no option how to directly suppress these alert windows in GUI.
From your post however, Im wondering if you can resolve this by configuring a proper Zone in the EES/ECSP application itself:
in the application, go to Settings / Firewall / Rules and Zones
Here, you can set up a specific network rule to be applied according to parameters you specify; this can be network range, ip addresses, specific interface type and so on.