I don't believe he's that close. I did a quick check a few days ago and he was about 50 or 60 away.
One of these sports sites should include plate appearances as a category instead of forcing you to calculate it yourself.
The Nats have played 111 games so he needs 344.1 PA (3.1 per game) to qualify. Willingham entered with 321. So assuming that he get 1 PA above the minimum every game, he will reach it right at the end of the month.
