Right now, not. It uses a different technology approach on the web traffic and avast can’t scan it.
Maybe Azureus allow to add ashQuick.exe as an external scanner (when the file finishes its download).
There are many forum members using Azureus without problem, the only thing to watch out for is this ‘Internet Connection Timeout’ warning that isn’t wjat it may seem.
(compared to mcafee, norton, inoculate, panda etc, which i have all tried, avast has been by far the best AV i have come across, beats all other hands down so far…)