| The short answer is yes, it should work.
However, you'll be running that thing at or slightly above its rated power, so make sure you keep it cool (on the floor, in the shade, plenty of air space on ALL sides including the bottom, possibly add some forced airflow, all that good stuff).
Another thing that comes to mind is whether that transformer is adequately sized for bass duty. You might want to call Weber & ask before you decide to spring for one. | 
