I agree with Kip Thorne and Morrus that it would be most likely an instantaneous movement from one location to the next.
You know, this thread is years old, so I cannot remember if this got said, and I'm not going back to read the whole thing for just this point...
A wormhole is a shortcut through a curved space. To go through normal space from points A to B, you travel some distance X. Go between points A and B through a wormhole, and you go some distance Y.
Now, you have three cases. Y=0 is the "instantaneous travel" option. The wormhole is a portal, and there is zero distance between its ends.
But zero is a very specific number. All in all, you'd kind of expect Y to have some value, but one that specific? That would have to be a specific result of the math, to come out that elegantly.
The more realistic idea is that Y has some non-zero value. If X>Y, we travel some distance through the wormhole, and it is a shortcut. But that doesn't mean it is actually short, on human scales. It is ~4 light years to Alpha Centauri. A trip of only 2 light years to get there would be a shortcut, but still a long distance on human scales.
There's also the possibility that Y > X, that the wormhole trip is *longer* than the trip through normal space. It would be kinda dumb to spend all the effort warping spacetime and taking a longer trip, rather than a shorter one, but I think the math allows it. We just aren't interested i this, so we disregard it.
The rub lies in that if the entry and exits have different velocities, one could travel into the future. I have a near future sci-fi campaign where the primary way of interstellar transit is by wormhole, where they create a Einstein-Rosen Bridge (wormhole) using a Thorne-Ellis Event Generator, travel is instantaneous from the occupants subjective viewpoint while it is 1d6+1 days objectively.
Um, the whole point is that there is no "objective" time. That's why it is the Theory of *Relativity*. If there's objective time, wormholes are not possible!
The best you can get is, "it is 1d6+1 days with respect to some specific location in normal space". I would imagine that best to be the point of departure, so if you take a round trip out and back, the total time you are gone is at least 2d6+2 days.