Yes it should... but read what I edited just now... the BIOS update may or not provide support. It may depend on the available BIOS version and socket color. Black sockets were meant to support FX CPU with or without a BIOS update depending on the date they were manufactured. On white sockets, chances are not so likely but still possible, so try updating it... if it works fine, you will have saved some cash... and if not, get an AM3+ motherboard.
EDIT:
Here is proof that several Asus M4A89TD Pro/USB3 motherboards.. not the same model but have the white socket and did work with a FX CPU after a BIOS update
https://www.bios-mods.com/forum/Thread-New-FX-8350-FX-8320-FULL-support-for-Asus-M4A89TD-Pro-USB3-C-Formula-IV-etc