To switch off automatic upgrade checks in SyncBack, select burger menu > Global Settings > Easy tab in V9 (or newer) version (or Preferences > Options from the main menu in V8 and then untick the checkbox Check periodically for new versions.
If you are using a retired version of SyncBackPro/SE (e.g. V7, V6 and V5) then you may wish to switch off automatic upgrade checks as no new releases of those versions will be made. You are free to continue using retired versions, but note that technical support is now longer available for them. Visit our upgrade store if you wish to upgrade to the latest version.