Technical, it's better to solve the
cause then the consequence. I mean, instead of suppresing the read box (which has its meaning), it's better to make the updater work!
There is a parameter in avast4.ini that tells avast how long to wait after the computer is woke up. It's in the [InetWD] section and is called
AlwaysConnectedWaitSeconds=Xx
As its name suggests, it expects the number of seconds to wait before attempting to update. The default is 30 but it may not be enough for all the DSL stuff so you can try increasing this e.g. to 60 (1 minute). That should be enough.
Anyway,
I've enabled 'my computer is permanently connected to the Internet' though, because I don't want Avast to ping every 40 seconds.
Wait a moment, did you really think that avast is pinging our servers every 40 seconds even if the connection works??? No, we're not such idiots to effectively DDOS our servers like this!!!

Of course, the ping only takes place when the previous DIDN'T work (i.e. the connection is not available -- or someone is blocking the ping packets)...
Vlk