Going by the specs I've seen it says it can support up to 140w Processors, which is likely since the older Phenom first gens had higher TDP. Which means if you can get an up to date bios it should support that 960T since it's a 95w chip. And, the board is an am2+ board. Just make sure to get ahold of acer first, like others have said to be sure.
If you want a true cpu support list, we'd need an actual product model number in order to look up the proper system specs on Acers site.
Some people think you need an AM3 board to run a 1xxxT proc, but, my old msi k9a2 plat v1 Ran my 1090t just fine with up to date bios before I upgraded to an 890fx board.