According to the following website it does:
http://www.knowyourmobile.com/sonyericsson/sonyericssonw995/sonyericssonw995reviews/259036/sony_ericsson_w995_preview.html
I also came across the BBC iPlayer forum page in my search and it seems a few people are having problems connecting to WiFi with the w995, but not sure if you'll experience the same thing.
