Both times I've booked award tickets with GlobalPass in the past year they sent out my tickets within a week or so of when I called them. Very nice service. The travel dates were many months in the future. I didn't ask for them in a hurry and they didn't ask for an expedite fee.
When I booked two sets of trips two weeks ago, following this same model Daniela said I'd get the tickets the following week. These haven't arrived, and on reading the above posts I called GlobalPass this morning. As milesrus reported, they're now saying that they'll mail the tickets several weeks before the travel date, and that I can't expedite them at this point.
Another mid-course policy shift by GlobalPass. I'm keeping my fingers crossed that the tickets will eventually arrive.