Fox Sports - Vilma lawsuit puts Goodell on the run.

No. But it's coming.

I don't think Goodell has been served yet. At least, there's no indication of service in the electronic court record.

After he's served, he has 20 days to file responsive pleadings (which will be a motion to dismiss). Of course, he may get additional time from Vilma, it's common and considered a courtesy among counsel to not oppose a reasonable extension.

Local rules also allow for an automatic extension of 21 days by ex parte motion unless Vilma files an objection into the record. I would be very surprised to see a motion to dismiss filed before July 1.